A Tale of Scale, Conformal, and Superconformal Invariance

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Publisher :
ISBN 13 : 9781303439438
Total Pages : 224 pages
Book Rating : 4.4/5 (394 download)

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Book Synopsis A Tale of Scale, Conformal, and Superconformal Invariance by : Andreas Stergiou

Download or read book A Tale of Scale, Conformal, and Superconformal Invariance written by Andreas Stergiou and published by . This book was released on 2013 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation consists of two parts. In the first, we study the possibility of recurrent trajectories in renormalization-group flows of unitary four-dimensional gauge theories, and the relation of scale and conformal invariance. We carry out three-loop computations of the beta function in dimensional regularization, and we establish that the beta-function vector field of four-dimensional gauge theories admits recurrent trajectories. It is then demonstrated that theories that live on these trajectories are conformal. Along the way, we construct a perturbative proof that scale implies conformal invariance in relativistic unitary quantum field theories in four spacetime dimensions. We also point out that the beta function of supersymmetric theories does not admit limit cycles in perturbation theory. The second part of this dissertation pertains to theories that are superconformal, or approximately superconformal. We use the constraints of superconformal symmetry to illustrate features of two- and three-point correlators involving conserved-current insertions. This is motivated by "general gauge mediation'' where two-point current-correlators parametrize the soft masses of the minimal supersymmetric standard model. We show that the superconformal symmetry and current conservation are enough to fix the operator products of descendants in terms of those of the primaries. Subsequently we consider soltly broken superconformal symmetry and we study analyticity properties of these correlators, e.g. their discontinuities. We then use the optical theorem to relate them to total scattering cross sections from visible to hidden sector states. We also discuss how the current-current OPE can be truncated to the first few terms to get a good approximation to the soft masses. Finally, we demonstrate our techniques in several examples, both at weak and strong coupling. Among them, we introduce a new framework where supersymmetry-breaking arises both from a hidden sector and dynamically.

An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry

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Publisher : Springer
ISBN 13 : 3030050858
Total Pages : 482 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry by : Ilarion V. Melnikov

Download or read book An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry written by Ilarion V. Melnikov and published by Springer. This book was released on 2019-02-11 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces two-dimensional supersymmetric field theories with emphasis on both linear and non-linear sigma models. Complex differential geometry, in connection with supersymmetry, has played a key role in most developments of the last thirty years in quantum field theory and string theory. Both structures introduce a great deal of rigidity compared to the more general categories of non-supersymmetric theories and real differential geometry, allowing for many general conceptual results and detailed quantitative predictions. Two-dimensional (0,2) supersymmetric quantum field theories provide a natural arena for the fruitful interplay between geometry and quantum field theory. These theories play an important role in string theory and provide generalizations, still to be explored fully, of rich structures such as mirror symmetry. They also have applications to non-perturbative four-dimensional physics, for instance as descriptions of surface defects or low energy dynamics of solitonic strings in four-dimensional supersymmetric theories. The purpose of these lecture notes is to acquaint the reader with these fascinating theories, assuming a background in conformal theory, quantum field theory and differential geometry at the beginning graduate level. In order to investigate the profound relations between structures from complex geometry and field theory the text begins with a thorough examination of the basic structures of (0,2) quantum field theory and conformal field theory. Next, a simple class of Lagrangian theories, the (0,2) Landau-Ginzburg models, are discussed, together with the resulting renormalization group flows, dynamics, and symmetries. After a thorough introduction and examination of (0,2) non-linear sigma models, the text introduces linear sigma models that, in particular, provide a unified treatment of non-linear sigma models and Landau-Ginzburg theories. Many exercises, along with discussions of relevant mathematical notions and important open problems in the field, are included in the text.

Superconformal Invariance in the Two-dimensional Ashkin-Teller Model

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Publisher :
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (488 download)

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Book Synopsis Superconformal Invariance in the Two-dimensional Ashkin-Teller Model by : S. K. (NORDITA) Yang

Download or read book Superconformal Invariance in the Two-dimensional Ashkin-Teller Model written by S. K. (NORDITA) Yang and published by . This book was released on 1987 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:

50 Years Of Yang-mills Theory

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Publisher : World Scientific
ISBN 13 : 9814482196
Total Pages : 498 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis 50 Years Of Yang-mills Theory by : Gerard 'T Hooft

Download or read book 50 Years Of Yang-mills Theory written by Gerard 'T Hooft and published by World Scientific. This book was released on 2005-02-11 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: “It was a brilliant idea to signal the 50th birthday of Yang-Mills theory by gathering together a wide range of articles by leading experts on many aspects of the subject. The result is a most handsome tribute of both historical and current interest, and a substantial addition to the existing literature …This unusual and elegant festschrift is a treat for theorists.”CERN CourierOn the 50th anniversary of Yang-Mills theory, this invaluable volume looks back at the developments and achievements in elementary particle physics that ensued from that beautiful idea.During the last five decades, Yang-Mills theory, which is undeniably the most important cornerstone of theoretical physics, has expanded widely. It has been investigated from many perspectives, and many new and unexpected features have been uncovered from this theory. In recent decades, apart from high energy physics, the theory has been actively applied in other branches of physics, such as statistical physics, condensed matter physics, nonlinear systems, etc. This makes the theory an indispensable topic for all who are involved in physics.An international team of experts, each of whom has left his mark on the developments of this remarkable theory, contribute essays or more detailed technical accounts to this volume. These articles highlight the new discoveries from the respective authors' perspectives. The distinguished contributors are: S Adler, F A Bais, C Becchi, M Creutz, A De Rújula, B S DeWitt, F Englert, L D Faddeev, P Hasenfratz, R Jackiw, A Polyakov, V N Popov, R Stora, P van Baal, P van Nieuwenhuizen, S Weinberg, F Wilczek, E Witten, C N Yang. Included in each article are introductory and explanatory remarks by the editor, G 't Hooft, who is himself a major player in the development of Yang-Mills theory.

Superconformal Invariance and the Tensor Multiplet in Six Dimensions

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Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (837 download)

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Book Synopsis Superconformal Invariance and the Tensor Multiplet in Six Dimensions by : E. Bergshoeff

Download or read book Superconformal Invariance and the Tensor Multiplet in Six Dimensions written by E. Bergshoeff and published by . This book was released on 1985 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Holographic Duality in Condensed Matter Physics

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Publisher : Cambridge University Press
ISBN 13 : 131641213X
Total Pages : 587 pages
Book Rating : 4.3/5 (164 download)

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Book Synopsis Holographic Duality in Condensed Matter Physics by : Jan Zaanen

Download or read book Holographic Duality in Condensed Matter Physics written by Jan Zaanen and published by Cambridge University Press. This book was released on 2015-11-05 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pioneering treatise presenting how the new mathematical techniques of holographic duality unify seemingly unrelated fields of physics. This innovative development morphs quantum field theory, general relativity and the renormalisation group into a single computational framework and this book is the first to bring together a wide range of research in this rapidly developing field. Set within the context of condensed matter physics and using boxes highlighting the specific techniques required, it examines the holographic description of thermal properties of matter, Fermi liquids and superconductors, and hitherto unknown forms of macroscopically entangled quantum matter in terms of general relativity, stars and black holes. Showing that holographic duality can succeed where classic mathematical approaches fail, this text provides a thorough overview of this major breakthrough at the heart of modern physics. The inclusion of extensive introductory material using non-technical language and online Mathematica notebooks ensures the appeal to students and researchers alike.

Points, Lines, and Surfaces at Criticality

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Publisher : Springer
ISBN 13 : 3030257304
Total Pages : 164 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Points, Lines, and Surfaces at Criticality by : Edoardo Lauria

Download or read book Points, Lines, and Surfaces at Criticality written by Edoardo Lauria and published by Springer. This book was released on 2019-07-30 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis offers a fascinating journey through various non-perturbative aspects of Conformal Theories, in particular focusing on the Conformal Bootstrap Programme and its extensions to theories with various degrees of symmetry. Because of the preeminent role of Conformal Theories in Nature, as well as the great generality of the results here obtained, this analysis directly applies to many different areas of research. The content of this thesis is certainly relevant for the physics community as a whole and this relevance is well motivated and discussed along the various chapters of this work. The work is self-contained and starts with an original introduction to conformal theories, defects in such theories and how they lead to constraints on data and an extension of the bootstrap programme. This situation is often realized by critical systems with impurities, topological insulators, or – in the high-energy context – by Wilson and 't Hooft operators. The thesis continues with original research results of the author, including supersymmetric extensions. These results may be relevant non only in the high energy physics context - where supersymmetry is required for the theory to be consistent - but also for condensed matter systems that enjoy supersymmetry emergence at long distances.

Hadron Physics

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Publisher : IOS Press
ISBN 13 : 9781586035266
Total Pages : 728 pages
Book Rating : 4.0/5 (352 download)

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Book Synopsis Hadron Physics by : Tullio Bressani

Download or read book Hadron Physics written by Tullio Bressani and published by IOS Press. This book was released on 2005 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: Valerio Filippini devoted his life to physics. His scientific contributions were provided in the OBELIX and FINUDA experiments. The FINUDA experiment collected physics data immediately after the roll-in, thanks to the reliability and simplicity of the on-line system designed and assembled by the physicist. This work is dedicated to him.

Topological Geometrodynamics

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Publisher : Luniver Press
ISBN 13 : 0955117089
Total Pages : 822 pages
Book Rating : 4.9/5 (551 download)

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Book Synopsis Topological Geometrodynamics by : Matti Pitkanen

Download or read book Topological Geometrodynamics written by Matti Pitkanen and published by Luniver Press. This book was released on 2006 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological GeometroDynamics is a modification of general relativity inspired by the conceptual problems related to the definitions of inertial and gravitational energy in general relativity. Topological geometrodynamics can be also seen as a generalization of super string models. Physical space-times are seen as four-dimensional surfaces in certain eight-dimensional space. The choice of this space is fixed by symmetries of the standard model so that geometrization of known classical fields and elementary particle quantum numbers results. The notion of many-sheeted space-time allows re-interpretation of the structures of perceived world in terms of macroscopic space-time topology. The generalization of the number concept based on fusion of real numbers and p-adic number fields implies a further generalization of the space-time concept allowing to identify space-time correlates of cognition and intentionality. Quantum measurement theory extended to a quantum theory of consciousness becomes an organic part of theory. A highly non-trivial prediction is the existence of a fractal hierarchy of copies of standard model physics with dark matter identified in terms of macroscopic quantum phases characterized by dynamical and quantized Planck constant. The book is a comprehensive overview and analysis of topological geometrodynamics as a mathematical and physical theory.

High Energy Physics: Ichep 2000 - Proceedings Of The 30th International Conference (In 2 Volumes)

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Publisher : World Scientific
ISBN 13 : 9813201177
Total Pages : 1550 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis High Energy Physics: Ichep 2000 - Proceedings Of The 30th International Conference (In 2 Volumes) by : Chong-sa Lim

Download or read book High Energy Physics: Ichep 2000 - Proceedings Of The 30th International Conference (In 2 Volumes) written by Chong-sa Lim and published by World Scientific. This book was released on 2001-04-30 with total page 1550 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents topics of major interest to the high energy physics community, as well as recent research results.

Supergravity

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Publisher : Cambridge University Press
ISBN 13 : 1139642855
Total Pages : 626 pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis Supergravity by : Daniel Z. Freedman

Download or read book Supergravity written by Daniel Z. Freedman and published by Cambridge University Press. This book was released on 2012-04-05 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supergravity, together with string theory, is one of the most significant developments in theoretical physics. Written by two of the most respected workers in the field, this is the first-ever authoritative and systematic account of supergravity. The book starts by reviewing aspects of relativistic field theory in Minkowski spacetime. After introducing the relevant ingredients of differential geometry and gravity, some basic supergravity theories (D=4 and D=11) and the main gauge theory tools are explained. In the second half of the book, complex geometry and N=1 and N=2 supergravity theories are covered. Classical solutions and a chapter on AdS/CFT complete the book. Numerous exercises and examples make it ideal for Ph.D. students, and with applications to model building, cosmology and solutions of supergravity theories, it is also invaluable to researchers. A website hosted by the authors, featuring solutions to some exercises and additional reading material, can be found at www.cambridge.org/supergravity.

Ninth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Gravitation & Relativistic Field Theories (In 3 Volumes) - Procs Of The Mgix Mm Meeting

Download Ninth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Gravitation & Relativistic Field Theories (In 3 Volumes) - Procs Of The Mgix Mm Meeting PDF Online Free

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Publisher : World Scientific
ISBN 13 : 9814488496
Total Pages : 2746 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Ninth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Gravitation & Relativistic Field Theories (In 3 Volumes) - Procs Of The Mgix Mm Meeting by : Vahe G Gurzadyan

Download or read book Ninth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Gravitation & Relativistic Field Theories (In 3 Volumes) - Procs Of The Mgix Mm Meeting written by Vahe G Gurzadyan and published by World Scientific. This book was released on 2002-12-12 with total page 2746 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1975 the Marcel Grossmann Meetings were established by Remo Ruffini and Abdus Salam to provide a forum for discussion of recent advances in gravitation, general relativity, and relativistic field theories. In these meetings, which are held once every three years, every aspect of research is emphasized - mathematical foundations, physical predictions, and numerical and experimental investigations. The major objective of these meetings is to facilitate exchange among scientists, so as to deepen our understanding of the structure of space-time and to review the status of both the ground-based and the space-based experiments aimed at testing the theory of gravitation.The Marcel Grossmann Meetings have grown under the guidance of an International Organizing Committee and a large International Coordinating Committee. The first two meetings, MG1 and MG2, were held in Trieste (1975, 1979). A most memorable MG3 (1982) was held in Shanghai and represented the first truly international scientific meeting in China after the so-called Cultural Revolution. Three years later MG4 was held in Rome (1985). It was at MG4 that ';astroparticle physics'; was born.MGIXMM was organized by the International Organizing Committee composed of D Blair, Y Choquet-Bruhat, D Christodoulou, T Damour, J Ehlers, F Everitt, Fang Li Zhi, S Hawking, Y Ne'eman, R Ruffini (chair), H Sato, R Sunyaev, and S Weinberg. Essential to the organization was an International Coordinating Committee of 135 members from scientific institutions of 54 countries. MGIXMM was attended by 997 scientists of 69 nationalities. It took place on 2-8 July 2000 at the University of Rome, Italy. The scientific programs included 60 plenary and review talks, as well as talks in 88 parallel sessions. The three volumes of the proceedings of MGIXMM present a rather authoritative view of relativistic astrophysics, which is becoming one of the priorities in scientific endeavour. The papers appearing in these volumes cover all aspects of gravitation, from mathematical issues to recent observations and experiments. Their intention is to give a complete picture of our current understanding of gravitational theory at the turn of the millennium.The Marcel Grossmann Individual Awards for this meeting were presented to Cecille and Bryce DeWitt, Riccardo Giacconi and Roger Penrose, while the Institutional Award went to the Solvay Institute, accepted on behalf of the Institute by Jacques Solvay and Ilya Prigogine. The acceptance speeches are also included in the proceedings.

The Ninth Marcel Grossman Meeting (MGIXMM)

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Publisher : World Scientific
ISBN 13 : 9812380108
Total Pages : 2746 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis The Ninth Marcel Grossman Meeting (MGIXMM) by : Robert T. Jantzen

Download or read book The Ninth Marcel Grossman Meeting (MGIXMM) written by Robert T. Jantzen and published by World Scientific. This book was released on 2002-12-01 with total page 2746 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1975 the Marcel Grossmann Meetings were established by Remo Ruffini and Abdus Salam to provide a forum for discussion of recent advances in gravitation, general relativity, and relativistic field theories. In these meetings, which are held once every three years, every aspect of research is emphasized - mathematical foundations, physical predictions, and numerical and experimental investigations. The major objective of these meetings is to facilitate exchange among scientists, so as to deepen our understanding of the structure of space-time and to review the status of both the ground-based and the space-based experiments aimed at testing the theory of gravitation.The Marcel Grossmann Meetings have grown under the guidance of an International Organizing Committee and a large International Coordinating Committee. The first two meetings, MG1 and MG2, were held in Trieste (1975, 1979). A most memorable MG3 (1982) was held in Shanghai and represented the first truly international scientific meeting in China after the so-called Cultural Revolution. Three years later MG4 was held in Rome (1985). It was at MG4 that ';astroparticle physics'; was born.MGIXMM was organized by the International Organizing Committee composed of D Blair, Y Choquet-Bruhat, D Christodoulou, T Damour, J Ehlers, F Everitt, Fang Li Zhi, S Hawking, Y Ne'eman, R Ruffini (chair), H Sato, R Sunyaev, and S Weinberg. Essential to the organization was an International Coordinating Committee of 135 members from scientific institutions of 54 countries. MGIXMM was attended by 997 scientists of 69 nationalities. It took place on 2-8 July 2000 at the University of Rome, Italy. The scientific programs included 60 plenary and review talks, as well as talks in 88 parallel sessions. The three volumes of the proceedings of MGIXMM present a rather authoritative view of relativistic astrophysics, which is becoming one of the priorities in scientific endeavour. The papers appearing in these volumes cover all aspects of gravitation, from mathematical issues to recent observations and experiments. Their intention is to give a complete picture of our current understanding of gravitational theory at the turn of the millennium.The Marcel Grossmann Individual Awards for this meeting were presented to Cecille and Bryce DeWitt, Riccardo Giacconi and Roger Penrose, while the Institutional Award went to the Solvay Institute, accepted on behalf of the Institute by Jacques Solvay and Ilya Prigogine. The acceptance speeches are also included in the proceedings.

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 892 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1988 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:

EPFL Lectures on Conformal Field Theory in D ≥ 3 Dimensions

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Publisher : Springer
ISBN 13 : 3319436260
Total Pages : 81 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis EPFL Lectures on Conformal Field Theory in D ≥ 3 Dimensions by : Slava Rychkov

Download or read book EPFL Lectures on Conformal Field Theory in D ≥ 3 Dimensions written by Slava Rychkov and published by Springer. This book was released on 2016-09-30 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer develops Conformal Field Theory (CFT) from scratch, whereby CFT is viewed as any conformally-invariant theory that describes a fixed point of a renormalization group flow in quantum field theory. The book is divided into four lectures: Lecture 1 addresses the physical foundations of conformal invariance, while Lecture 2 examines the constraints imposed by conformal symmetry on the correlation functions of local operators, presented using the so-called projective null cone – a procedure also known as the embedding formalism. In turn, Lecture 3 focuses on the radial quantization and the operator product expansion, while Lecture 4 offers a very brief introduction to the conformal bootstrap. Derived from course-based notes, these lectures are intended as a first point of entry to this topic for Master and PhD students alike.

Supersymmetry and String Theory

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Publisher : Cambridge University Press
ISBN 13 : 113946244X
Total Pages : 481 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Supersymmetry and String Theory by : Michael Dine

Download or read book Supersymmetry and String Theory written by Michael Dine and published by Cambridge University Press. This book was released on 2007-01-04 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past decade has witnessed dramatic developments in the field of theoretical physics. This book is a comprehensive introduction to these recent developments. It contains a review of the Standard Model, covering non-perturbative topics, and a discussion of grand unified theories and magnetic monopoles. It introduces the basics of supersymmetry and its phenomenology, and includes dynamics, dynamical supersymmetry breaking, and electric-magnetic duality. The book then covers general relativity and the big bang theory, and the basic issues in inflationary cosmologies before discussing the spectra of known string theories and the features of their interactions. The book also includes brief introductions to technicolor, large extra dimensions, and the Randall-Sundrum theory of warped spaces. This will be of great interest to graduates and researchers in the fields of particle theory, string theory, astrophysics and cosmology. The book contains several problems, and password protected solutions will be available to lecturers at www.cambridge.org/9780521858410.

The Road to Reality

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Publisher : Vintage
ISBN 13 : 0593315308
Total Pages : 1136 pages
Book Rating : 4.5/5 (933 download)

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Book Synopsis The Road to Reality by : Roger Penrose

Download or read book The Road to Reality written by Roger Penrose and published by Vintage. This book was released on 2021-06-09 with total page 1136 pages. Available in PDF, EPUB and Kindle. Book excerpt: **WINNER OF THE 2020 NOBEL PRIZE IN PHYSICS** The Road to Reality is the most important and ambitious work of science for a generation. It provides nothing less than a comprehensive account of the physical universe and the essentials of its underlying mathematical theory. It assumes no particular specialist knowledge on the part of the reader, so that, for example, the early chapters give us the vital mathematical background to the physical theories explored later in the book. Roger Penrose's purpose is to describe as clearly as possible our present understanding of the universe and to convey a feeling for its deep beauty and philosophical implications, as well as its intricate logical interconnections. The Road to Reality is rarely less than challenging, but the book is leavened by vivid descriptive passages, as well as hundreds of hand-drawn diagrams. In a single work of colossal scope one of the world's greatest scientists has given us a complete and unrivalled guide to the glories of the universe that we all inhabit. 'Roger Penrose is the most important physicist to work in relativity theory except for Einstein. He is one of the very few people I've met in my life who, without reservation, I call a genius' Lee Smolin