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Yang Mills Theories In Algebraic Non Covariant Gauges
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Book Synopsis Yang-Mills Theories in Algebraic Non-covariant Gauges by : A. Bassetto
Download or read book Yang-Mills Theories in Algebraic Non-covariant Gauges written by A. Bassetto and published by World Scientific. This book was released on 1991 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with canonical quantization, Feynman rules and renormalization of Yang-Mills theories in algebraic non-covariant gauges (typically axial and light-cone gauges). The material is self-contained and presented in a basic manner according to a personal style representative of a long lasting activity in the field. Emphasis is always placed on the underlying basic concepts of Quantum Field Theory, even when particular examples are treated, details and the related difficulties are thoroughly discussed. The value of the book goes beyond the specificity of its subject.
Book Synopsis Yang-Mills Theories in Algebraic Non-covariant Gauges by : Antonio Bassetto
Download or read book Yang-Mills Theories in Algebraic Non-covariant Gauges written by Antonio Bassetto and published by . This book was released on 1991 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Noncovariant Gauges: Quantization Of Yang-mills And Chern-simons Theory In Axial-type Gauges by : George Leibbrandt
Download or read book Noncovariant Gauges: Quantization Of Yang-mills And Chern-simons Theory In Axial-type Gauges written by George Leibbrandt and published by World Scientific. This book was released on 1994-09-12 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some of the most effective gauges in field theory are noncovariant gauges of the axial kind, such as the light-cone gauge and the temporal gauge. The principal advantage of these gauges stems from the decoupling of the fictitious particles in the theory. The purpose of this volume is to give a clear and readable account of the basic features and mathematical subtleties of these ghost-free gauges, and of their truly enormous range of applicability.In addition to explicit one-loop computations in Yang-Mills and Chern-Simons theory, the book contains detailed analysis of the unifield-gauge formalism and of the renormalization of Yang-Mills theory in the presence of nonlocal terms.
Book Synopsis Applications of Noncovariant Gauges in the Algebraic Renormalization Procedure by : A. Boresch
Download or read book Applications of Noncovariant Gauges in the Algebraic Renormalization Procedure written by A. Boresch and published by World Scientific. This book was released on 1998 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a natural continuation of the book Algebraic Renormalization, Perturbative Renormalization, Symmetries and Anomalies, by O Piguet and S P Sorella, with the aim of applying the algebraic renormalization procedure to gauge field models quantized in nonstandard gauges. The main ingredient of the algebraic renormalization program is the quantum action principle, which allows one to control in a unique manner the breaking of a symmetry induced by a noninvariant subtraction scheme. In particular, the volume studies in-depth the following quantized gauge field models: QED, Yang-Mills theories and topological models (the Chern-Simons and the BF model) in the context of axial-like gauges.
Book Synopsis Applications Of Noncovariant Gauges In The Algebraic Renormalization Procedure by : Alexander Boresch
Download or read book Applications Of Noncovariant Gauges In The Algebraic Renormalization Procedure written by Alexander Boresch and published by World Scientific. This book was released on 1998-07-22 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a natural continuation of the book Algebraic Renormalization, Perturbative Renormalization, Symmetries and Anomalies, by O Piguet and S P Sorella, with the aim of applying the algebraic renormalization procedure to gauge field models quantized in nonstandard gauges. The main ingredient of the algebraic renormalization program is the quantum action principle, which allows one to control in a unique manner the breaking of a symmetry induced by a noninvariant subtraction scheme. In particular, the volume studies in-depth the following quantized gauge field models: QED, Yang-Mills theories and topological models (the Chern-Simons and the BF model) in the context of axial-like gauges.
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.
Book Synopsis The Dawning of Gauge Theory by : Lochlainn O'Raifeartaigh
Download or read book The Dawning of Gauge Theory written by Lochlainn O'Raifeartaigh and published by Princeton University Press. This book was released on 2020-06-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: During the course of this century, gauge invariance has slowly emerged from being an incidental symmetry of electromagnetism to being a fundamental geometrical principle underlying the four known fundamental physical interactions. The development has been in two stages. In the first stage (1916-1956) the geometrical significance of gauge-invariance gradually came to be appreciated and the original abelian gauge-invariance of electromagnetism was generalized to non-abelian gauge invariance. In the second stage (1960-1975) it was found that, contrary to first appearances, the non-abelian gauge-theories provided exactly the framework that was needed to describe the nuclear interactions (both weak and strong) and thus provided a universal framework for describing all known fundamental interactions. In this work, Lochlainn O'Raifeartaigh describes the former phase. O'Raifeartaigh first illustrates how gravitational theory and quantum mechanics played crucial roles in the reassessment of gauge theory as a geometric principle and as a framework for describing both electromagnetism and gravitation. He then describes how the abelian electromagnetic gauge-theory was generalized to its present non-abelian form. The development is illustrated by including a selection of relevant articles, many of them appearing here for the first time in English, notably by Weyl, Schrodinger, Klein, and London in the pre-war years, and by Pauli, Shaw, Yang-Mills, and Utiyama after the war. The articles illustrate that the reassessment of gauge-theory, due in a large measure to Weyl, constituted a major philosophical as well as technical advance.
Book Synopsis The Thermodynamics of Quantum YangCMills Theory by : Ralf Hofmann
Download or read book The Thermodynamics of Quantum YangCMills Theory written by Ralf Hofmann and published by World Scientific. This book was released on 2016-04-11 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This latest edition enhances the material of the first edition with a derivation of the value of the action for each of the Harrington–Shepard calorons/anticalorons that are relevant for the emergence of the thermal ground state. Also included are discussions of the caloron center versus its periphery, the role of the thermal ground state in U(1) wave propagation, photonic particle–wave duality, and calculational intricacies and book-keeping related to one-loop scattering of massless modes in the deconfining phase of an SU(2) Yang–Mills theory. Moreover, a derivation of the temperature–redshift relation of the CMB in deconfining SU(2) Yang–Mills thermodynamics and its application to explaining an apparent early re-ionization of the Universe are given. Finally, a mechanism of mass generation for cosmic neutrinos is proposed. Contents: Theory:The Classical Yang–Mills ActionThe Perturbative Approach at Zero TemperatureAspects of Finite-Temperature Field TheorySelfdual Field ConfigurationsThe Deconfining PhaseThe Preconfining PhaseThe Confining PhaseApplications:The Approach of Thermal Lattice Gauge TheoryBlack-Body AnomalyAstrophysical and Cosmological Implications of SU(2)CMB Readership: Advanced students, postdocs and researchers in theoretical physics and mathematics, as well as experimentalists.
Book Synopsis Geometry of Yang-Mills Fields by : Michael F. Atiyah
Download or read book Geometry of Yang-Mills Fields written by Michael F. Atiyah and published by Edizioni della Normale. This book was released on 1979-10 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: These Lecture Notes are an expanded version of the Fermi Lectures I gave at Scuola Normale Superiore in Pisa, the Loeb Lectures at Harvard and the Whittemore Lectures at Yale, in 1978. In all cases I was addressing a mixed audience of mathematicians and physicists and the presentation had to be tailored accordingly. Throughout, I presented the mathematical material in a somewhat unorthodox order, following a pattern which I felt would relate the new techniques to familiar ground for physicists. The main new results presented in the lectures, namely the construction of all multi-istanton solutions of Yang-Mills fields, is the culmination of several years of fruitful interaction between many physicists and mathematicians. The major breakthrough came with the observation by Ward that the complex methods developed by Penrose in his “twistor programme” were ideally suited to the study of the Yang-Mills equations. The instanton problem was then seen to be equivalent to a problem in complex analysis and to one in algebraic geometry. Using the powerful methods of modern algebraic geometry it was not long before the problem was finally solved.
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.
Book Synopsis Algebraic Renormalization by : Olivier Piguet
Download or read book Algebraic Renormalization written by Olivier Piguet and published by Springer Science & Business Media. This book was released on 2008-09-11 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of this book originated from two series of lectures given by us at the Physics Department of the Catholic University of Petr6polis, in Brazil. Its aim is to present an introduction to the "algebraic" method in the perturbative renormalization of relativistic quantum field theory. Although this approach goes back to the pioneering works of Symanzik in the early 1970s and was systematized by Becchi, Rouet and Stora as early as 1972-1974, its full value has not yet been widely appreciated by the practitioners of quantum field theory. Becchi, Rouet and Stora have, however, shown it to be a powerful tool for proving the renormalizability of theories with (broken) symmetries and of gauge theories. We have thus found it pertinent to collect in a self-contained manner the available information on algebraic renormalization, which was previously scattered in many original papers and in a few older review articles. Although we have taken care to adapt the level of this book to that of a po- graduate (Ph. D. ) course, more advanced researchers will also certainly find it useful. The deeper knowledge of renormalization theory we hope readers will acquire should help them to face the difficult problems of quantum field theory. It should also be very helpful to the more phenomenology oriented readers who want to famili- ize themselves with the formalism of renormalization theory, a necessity in view of the sophisticated perturbative calculations currently being done, in particular in the standard model of particle interactions.
Book Synopsis Gauge Invariance and Weyl-polymer Quantization by : Franco Strocchi
Download or read book Gauge Invariance and Weyl-polymer Quantization written by Franco Strocchi and published by Springer. This book was released on 2015-11-12 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives an introduction to Weyl non-regular quantization suitable for the description of physically interesting quantum systems, where the traditional Dirac-Heisenberg quantization is not applicable. The latter implicitly assumes that the canonical variables describe observables, entailing necessarily the regularity of their exponentials (Weyl operators). However, in physically interesting cases -- typically in the presence of a gauge symmetry -- non-observable canonical variables are introduced for the description of the states, namely of the relevant representations of the observable algebra. In general, a gauge invariant ground state defines a non-regular representation of the gauge dependent Weyl operators, providing a mathematically consistent treatment of familiar quantum systems -- such as the electron in a periodic potential (Bloch electron), the Quantum Hall electron, or the quantum particle on a circle -- where the gauge transformations are, respectively, the lattice translations, the magnetic translations and the rotations of 2π. Relevant examples are also provided by quantum gauge field theory models, in particular by the temporal gauge of Quantum Electrodynamics, avoiding the conflict between the Gauss law constraint and the Dirac-Heisenberg canonical quantization. The same applies to Quantum Chromodynamics, where the non-regular quantization of the temporal gauge provides a simple solution of the U(1) problem and a simple link between the vacuum structure and the topology of the gauge group. Last but not least, Weyl non-regular quantization is briefly discussed from the perspective of the so-called polymer representations proposed for Loop Quantum Gravity in connection with diffeomorphism invariant vacuum states.
Book Synopsis Covariant Operator Formalism Of Gauge Theories And Quantum Gravity by : Nakanishi Noboru
Download or read book Covariant Operator Formalism Of Gauge Theories And Quantum Gravity written by Nakanishi Noboru and published by World Scientific Publishing Company. This book was released on 1990-11-27 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough description of the manifestly covariant canonical formalism of the abelian and non-abelian gauge theories and quantum gravity. The emphasis is on its non-perturbative nature and the non-use of the path-integral approach. The formalism presented here is extremely beautiful and transparent.
Book Synopsis Particle Physics and Astrophysics by : J. Thanh Van Tran
Download or read book Particle Physics and Astrophysics written by J. Thanh Van Tran and published by Atlantica Séguier Frontières. This book was released on 1995 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Mass Gap And Its Applications by : Vakhtang Gogokhia
Download or read book The Mass Gap And Its Applications written by Vakhtang Gogokhia and published by World Scientific. This book was released on 2013-03-06 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Chromodynamics (QCD) is the most up-to-date theory of the strong interaction. Its predictions have been verified experimentally, and it is a cornerstone of the Standard Model of particle physics. However, standard perturbative procedures fail if applied to low-energy QCD. Even the discovery of the Higgs Boson will not solve the problem of masses originating from the non-perturbative behavior of QCD.This book presents a new method, the introduction of the ‘mass gap’, first suggested by Arthur Jaffe and Edward Witten at the turn of the millennium. It attempts to show that, to explain the mass-spectrum of QCD, one needs the mass scale parameter (the mass gap) instead of other massive particles. The energy difference between the lowest order and the vacuum state in Yang-Mills quantum field theory, the mass gap is in principle responsible for the large-scale structure of the QCD ground state, and thus also for its non-perturbative phenomena at low energies. This book not only presents the mass gap, but also details the applications and outlook of the mass gap method. A detailed summary of references and problems are included as well.This book is best for scientists and highly advanced students interested in non-perturbative effects and methods in QCD.
Book Synopsis Mrst '96: Current Ideas In Theoretical Physics - Proceedings Of The Eighteenth Annual Montréal–rochester–syracuse–toronto Meeting by : Patrick J O'donnell
Download or read book Mrst '96: Current Ideas In Theoretical Physics - Proceedings Of The Eighteenth Annual Montréal–rochester–syracuse–toronto Meeting written by Patrick J O'donnell and published by World Scientific. This book was released on 1996-11-22 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: The Infamous Coulomb Gauge (G Leibbrandt)Renormalized Path Integral in Quantum Mechanics (R J Henderson & S G Rajeev)New Analysis of the Divergence of Perturbation Theory (S A Pernice)The Last of the Soluble Two Dimensional Field Theories? (C R Hagen)Rb and Heavy Quark Mixing (P Bamert)Rb Problem: Loop Contributions and Supersymmetry (J M Cline)QCD Radiative Effects in Inclusive Hadronic B Decays (B H Smith)CP-Violating Dipole Moments of Quarks in the Kobayashi–Maskawa Model (M Boridy et al.)Hints of Dynamical Symmetry Breaking? (B Holdom)Pi Pi Scattering in an Effective Chiral Lagrangian (M Harada)Pion-Resonance Parameters from QCD Sum Rules (T G Steele et al.)Higgs Theorem, Effective Action, and Its Gauge Invariance (Y Vtorov–Karevsky)SUSY and the Decay H02 → gg (H König)Effective Higgs-to-Light Quark Coupling Induced by Heavy Quark Loops (M R Ahmady et al.)Heavy Charged Lepton Production in Superstring Inspired E6 Models (M M Boyce et al.)The Elastic Properties of a Flat Crystalline Membrane (M Bowick et al.)Gauge Dependence of Topological Observables in Chern–Simons Theory (F A Dilkes et al.)Entanglement Entropy from Edge States (A Momen)A Simple General Treatment of Flavor Oscillations (Y Grossman & H J Lipkin)From Schrödinger to Maupertuis: Least Action Principles from Quantum Mechanics (C G Gray et al.)The Matrix Method for Multi-Loop Feynman Integrals (J D Williams)Simplification in QCD and Electroweak Calculations (Y J Feng & C S Lam) Readership: Graduate and postgraduate students in high energy physics. keywords:
Book Synopsis Focus on Quantum Field Theory by : O. Kovras
Download or read book Focus on Quantum Field Theory written by O. Kovras and published by Nova Publishers. This book was released on 2005 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gang activity in the United States has been traced to the early 19th century when youth gangs emerged from some immigrant populations. Now, as then, gangs provide identity and social relationships for some young people who feel marginalised by the dominant social, economic and cultural environments in which they live. Gangs, however, are not simply a "street family" to some of the nation's disenfranchised. As distinguished by the U.S. Department of Justice, "a group must be involved in a pattern of criminal acts to be considered a youth gang." Between 1980 and 1996, the U.S. experienced significant growth in youth gangs, when the number of cities and jurisdictions that reported gang problems rose from 2863 to approximately 4,800. From 1996 through 1998, the growth seemed to slow down, but according to the 1999 National Youth Gang Survey, the number of gang members is again on the rise.
