Perturbative And Nonperturbative Aspects Of Quantum Field Theory

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Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications

Author : Jurg Frohlich
Publisher : World Scientific
ISBN 13 : 9814506567
Total Pages : 855 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications by : Jurg Frohlich

Download or read book Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications written by Jurg Frohlich and published by World Scientific. This book was released on 1992-04-29 with total page 855 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.

Non-perturbative Methods in 2 Dimensional Quantum Field Theory

Author : Elcio Abdalla
Publisher : World Scientific
ISBN 13 : 9812810153
Total Pages : 834 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Non-perturbative Methods in 2 Dimensional Quantum Field Theory by : Elcio Abdalla

Download or read book Non-perturbative Methods in 2 Dimensional Quantum Field Theory written by Elcio Abdalla and published by World Scientific. This book was released on 2001 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of Non-Perturbative Methods in Two-Dimensional Quantum Field Theory is an extensively revised version, involving major changes and additions. Although much of the material is special to two dimensions, the techniques used should prove helpful also in the development of techniques applicable in higher dimensions. In particular, the last three chapters of the book will be of direct interest to researchers wanting to work in the field of conformal field theory and strings. This book is intended for students working for their PhD degree and post-doctoral researchers wishing to acquaint themselves with the non-perturbative aspects of quantum field theory. Contents: Free Fields; The Thirring Model; Determinants and Heat Kernels; Self-Interacting Fermionic Models; Nonlinear a Models: Classical Aspects; Nonlinear a Models OCo Quantum Aspects; Exact S-Matrices of 2D Models; The Wess-Zumino-Witten Theory; QED 2: Operator Approach; Quantum Chromodynamics; QED 2: Functional Approach; The Finite Temperature Schwinger Model; Non-Abelian Chiral Gauge Theories; Chiral Quantum Electrodynamics; Conformally Invariant Field Theory; Conformal Field Theory with Internal Symmetry; 2D Gravity and String-Related Topics. Readership: Graduate students and researchers in high energy and quantum physics."

Nonperturbative Quantum Field Theory

Author : G. Hooft
Publisher : Springer Science & Business Media
ISBN 13 : 1461307295
Total Pages : 603 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Nonperturbative Quantum Field Theory by : G. Hooft

Download or read book Nonperturbative Quantum Field Theory written by G. Hooft and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past 15 years, quantum field theory and classical statistical mechanics have merged into a single field, and the need for nonperturbative methods for the description of critical phenomena in statistical mechanics as well as for problems in elementary particle physics are generally acknowledged. Such methods formed the central theme of the 1987 Cargese Advanced Study Institut. e on "Nonpert. urbat. ive Quantum Field Theory." The use of conformal symmet. ry has been of central interest in recent years, and was a main subject at. t. he ASI. Conformal invariant quantum field theory describes statistical mechanical systems exactly at a critical point, and can be analysed to a remarkable ext. ent. by group t. heoretical methods. Very strong results have been obtained for 2-dimensional systems. Conformal field theory is also the basis of string theory, which offers some hope of providing a unified t. heory of all interactions between elementary particles. Accordingly, a number of lectures and seminars were presented on these two topics. After syst. ematic introductory lectures, conformal field theory on Riemann surfaces, orbifolds, sigma models, and application of loop group theory and Grassmannians were discussed, and some ideas on modular geometry were presented. Other lectures combined' traditional techniques of constructive quant. um field theory with new methods such as the use of index-t. heorems and infinite dimensional (Kac Moody) symmetry groups. The problems encountered in a quantum mechanical description of black holes were discussed in detail.

Non-Perturbative Field Theory

Author : Yitzhak Frishman
Publisher : Cambridge University Press
ISBN 13 : 1139486489
Total Pages : 455 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Non-Perturbative Field Theory by : Yitzhak Frishman

Download or read book Non-Perturbative Field Theory written by Yitzhak Frishman and published by Cambridge University Press. This book was released on 2010-04-08 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a new perspective on quantum field theory, this book is useful for graduate students and researchers within and outside the field. It describes non-perturbative methods, and explores two-dimensional and four-dimensional gauge dynamics using those methods. Applications are thoroughly described.

An Introduction to Non-Perturbative Foundations of Quantum Field Theory

Author : Franco Strocchi
Publisher : OUP Oxford
ISBN 13 : 0191651346
Total Pages : 608 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis An Introduction to Non-Perturbative Foundations of Quantum Field Theory by : Franco Strocchi

Download or read book An Introduction to Non-Perturbative Foundations of Quantum Field Theory written by Franco Strocchi and published by OUP Oxford. This book was released on 2013-02-14 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Field Theory (QFT) has proved to be the most useful strategy for the description of elementary particle interactions and as such is regarded as a fundamental part of modern theoretical physics. In most presentations, the emphasis is on the effectiveness of the theory in producing experimentally testable predictions, which at present essentially means Perturbative QFT. However, after more than fifty years of QFT, we still are in the embarrassing situation of not knowing a single non-trivial (even non-realistic) model of QFT in 3+1 dimensions, allowing a non-perturbative control. As a reaction to these consistency problems one may take the position that they are related to our ignorance of the physics of small distances and that QFT is only an effective theory, so that radically new ideas are needed for a consistent quantum theory of relativistic interactions (in 3+1 dimensions). The book starts by discussing the conflict between locality or hyperbolicity and positivity of the energy for relativistic wave equations, which marks the origin of quantum field theory, and the mathematical problems of the perturbative expansion (canonical quantization, interaction picture, non-Fock representation, asymptotic convergence of the series etc.). The general physical principles of positivity of the energy, Poincare' covariance and locality provide a substitute for canonical quantization, qualify the non-perturbative foundation and lead to very relevant results, like the Spin-statistics theorem, TCP symmetry, a substitute for canonical quantization, non-canonical behaviour, the euclidean formulation at the basis of the functional integral approach, the non-perturbative definition of the S-matrix (LSZ, Haag-Ruelle-Buchholz theory). A characteristic feature of gauge field theories is Gauss' law constraint. It is responsible for the conflict between locality of the charged fields and positivity, it yields the superselection of the (unbroken) gauge charges, provides a non-perturbative explanation of the Higgs mechanism in the local gauges, implies the infraparticle structure of the charged particles in QED and the breaking of the Lorentz group in the charged sectors. A non-perturbative proof of the Higgs mechanism is discussed in the Coulomb gauge: the vector bosons corresponding to the broken generators are massive and their two point function dominates the Goldstone spectrum, thus excluding the occurrence of massless Goldstone bosons. The solution of the U(1) problem in QCD, the theta vacuum structure and the inevitable breaking of the chiral symmetry in each theta sector are derived solely from the topology of the gauge group, without relying on the semiclassical instanton approximation.

Quantum Chromodynamics

Author : B. L. Ioffe
Publisher : Cambridge University Press
ISBN 13 : 0521631483
Total Pages : 597 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Quantum Chromodynamics by : B. L. Ioffe

Download or read book Quantum Chromodynamics written by B. L. Ioffe and published by Cambridge University Press. This book was released on 2010-01-21 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at graduate students and researchers in theoretical physics, this book presents the modern theory of strong interaction: quantum chromodynamics (QCD). The book exposes various perturbative and nonperturbative approaches to the theory, including chiral effective theory, the problems of anomalies, vacuum tunnel transitions, and the problem of divergence of the perturbative series. The QCD sum rules approach is exposed in detail. A great variety of hadronic properties (masses of mesons and baryons, magnetic moments, form factors, quark distributions in hadrons, etc.) have been found using this method. The evolution of hadronic structure functions is presented in detail, together with polarization phenomena. The problem of jets in QCD is treated through theoretical description and experimental observation. The connection with Regge theory is emphasized. The book covers many aspects of theory which are not discussed in other books, such as CET, QCD sum rules, and BFKL. • Provides a deep understanding of various aspects of the modern theory of strong interaction • Presents the general properties of QCD, before exploring perturbative and nonperturbative approaches • Discusses aspects of the theory such as CET, QCD sum rules, and BFKL, which are not covered in other books

Non-perturbative Aspects in Quantum Field Theory

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (493 download)

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Book Synopsis Non-perturbative Aspects in Quantum Field Theory by :

Download or read book Non-perturbative Aspects in Quantum Field Theory written by and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Perturbative and Nonperturbative Aspects of Quantum Field Theory

Author : H. Latal
Publisher : Springer
ISBN 13 : 9783662141250
Total Pages : 430 pages
Book Rating : 4.1/5 (412 download)

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Book Synopsis Perturbative and Nonperturbative Aspects of Quantum Field Theory by : H. Latal

Download or read book Perturbative and Nonperturbative Aspects of Quantum Field Theory written by H. Latal and published by Springer. This book was released on 2014-03-12 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book addresses graduate students as well as scientists interested in applications of the standard model for strong and electroweak interactions to experimentally determinable quantities. Computer simulations and the relations between various approaches to quantum field theory, such as perturbative methods, lattice methods and effective theories, are also discussed.

Non-perturbative Aspects of Quantum Field Theory

Author : J. Julve
Publisher :
ISBN 13 :
Total Pages : 259 pages
Book Rating : 4.:/5 (658 download)

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Book Synopsis Non-perturbative Aspects of Quantum Field Theory by : J. Julve

Download or read book Non-perturbative Aspects of Quantum Field Theory written by J. Julve and published by . This book was released on 1982 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Non-perturbative Quantum Field Theory

Author : Jürg Fröhlich
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789810204327
Total Pages : 841 pages
Book Rating : 4.2/5 (43 download)

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Book Synopsis Non-perturbative Quantum Field Theory by : Jürg Fröhlich

Download or read book Non-perturbative Quantum Field Theory written by Jürg Fröhlich and published by World Scientific Publishing Company Incorporated. This book was released on 1992 with total page 841 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.

Instantons and Large N

Author : Marcos Mariño
Publisher : Cambridge University Press
ISBN 13 : 1316368548
Total Pages : 381 pages
Book Rating : 4.3/5 (163 download)

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Book Synopsis Instantons and Large N by : Marcos Mariño

Download or read book Instantons and Large N written by Marcos Mariño and published by Cambridge University Press. This book was released on 2015-09-03 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly pedagogical textbook for graduate students in particle, theoretical and mathematical physics, explores advanced topics of quantum field theory. Clearly divided into two parts; the first focuses on instantons with a detailed exposition of instantons in quantum mechanics, supersymmetric quantum mechanics, the large order behavior of perturbation theory, and Yang–Mills theories, before moving on to examine the large N expansion in quantum field theory. The organised presentation style, in addition to detailed mathematical derivations, worked examples and applications throughout, enables students to gain practical experience with the tools necessary to start research. The author includes recent developments on the large order behavior of perturbation theory and on large N instantons, and updates existing treatments of classic topics, to ensure that this is a practical and contemporary guide for students developing their understanding of the intricacies of quantum field theory.

Perturbative Algebraic Quantum Field Theory

Author : Kasia Rejzner
Publisher : Springer
ISBN 13 : 3319259016
Total Pages : 186 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Perturbative Algebraic Quantum Field Theory by : Kasia Rejzner

Download or read book Perturbative Algebraic Quantum Field Theory written by Kasia Rejzner and published by Springer. This book was released on 2016-03-16 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn’t require the use of divergent quantities and works on a large class of Lorenzian manifolds. We discuss in detail the examples of scalar fields, gauge theories and the effective quantum gravity. pQFT models describe a wide range of physical phenomena and have remarkable agreement with experimental results. Despite this success, the theory suffers from many conceptual problems. pAQFT is a good candidate to solve many, if not all, of these conceptual problems. Chapters 1-3 provide some background in mathematics and physics. Chapter 4 concerns classical theory of the scalar field, which is subsequently quantized in chapters 5 and 6. Chapter 7 covers gauge theory and chapter 8 discusses effective quantum gravity. The book aims to be accessible to researchers and graduate students, who are interested in the mathematical foundations of pQFT.

Non-perturbative Aspects of Quantum Field Theory

Author : J. Julve
Publisher : World Scientific Publishing Company
ISBN 13 :
Total Pages : 278 pages
Book Rating : 4.:/5 (37 download)

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Book Synopsis Non-perturbative Aspects of Quantum Field Theory by : J. Julve

Download or read book Non-perturbative Aspects of Quantum Field Theory written by J. Julve and published by World Scientific Publishing Company. This book was released on 1982 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Perturbative and Nonperturbative Aspects of Quantum Field Theory

Author : H. Latal
Publisher : Springer
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Perturbative and Nonperturbative Aspects of Quantum Field Theory by : H. Latal

Download or read book Perturbative and Nonperturbative Aspects of Quantum Field Theory written by H. Latal and published by Springer. This book was released on 1997-02-20 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book addresses graduate students as well as scientists interested in applications of the standard model for strong and electroweak interactions to experimentally determinable quantities. Computer simulations and the relations between various approaches to quantum field theory, such as perturbative methods, lattice methods and effective theories, are also discussed.

Non-perturbative Aspects of Quantum Field Theory

Author : Bayram Tekin
Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Non-perturbative Aspects of Quantum Field Theory by : Bayram Tekin

Download or read book Non-perturbative Aspects of Quantum Field Theory written by Bayram Tekin and published by . This book was released on 1999 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Topics in Quantum Field Theory

Author : M. Shifman
Publisher : Cambridge University Press
ISBN 13 : 1139501887
Total Pages : 641 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Advanced Topics in Quantum Field Theory by : M. Shifman

Download or read book Advanced Topics in Quantum Field Theory written by M. Shifman and published by Cambridge University Press. This book was released on 2012-01-19 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the advent of Yang–Mills theories and supersymmetry in the 1970s, quantum field theory - the basis of the modern description of physical phenomena at the fundamental level - has undergone revolutionary developments. This is the first systematic and comprehensive text devoted specifically to modern field theory, bringing readers to the cutting edge of current research. The book emphasizes nonperturbative phenomena and supersymmetry. It includes a thorough discussion of various phases of gauge theories, extended objects and their quantization, and global supersymmetry from a modern perspective. Featuring extensive cross-referencing from traditional topics to recent breakthroughs in the field, it prepares students for independent research. The side boxes summarizing the main results and over 70 exercises make this an indispensable book for graduate students and researchers in theoretical physics.

An Introduction to Non-Perturbative Foundations of Quantum Field Theory

Author : Franco Strocchi
Publisher : Oxford University Press, USA
ISBN 13 : 0199671575
Total Pages : 270 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis An Introduction to Non-Perturbative Foundations of Quantum Field Theory by : Franco Strocchi

Download or read book An Introduction to Non-Perturbative Foundations of Quantum Field Theory written by Franco Strocchi and published by Oxford University Press, USA. This book was released on 2013-02-14 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book discusses fundamental aspects of Quantum Field Theory and of Gauge theories, with attention to mathematical consistency. Basic issues of the standard model of elementary particles (Higgs mechanism and chiral symmetry breaking in quantum Chromodynamics) are treated without relying on the perturbative expansion and on instanton calculus.