Noncovariant Gauges in Canonical Formalism

Noncovariant Gauges in Canonical Formalism
Author: André Burnel
Publisher: Springer
Total Pages: 248
Release: 2008-09-18
Genre: Science
ISBN: 354069921X

By definition, gauge theories - among the cornerstones of fundamental theoretical physics - involve more degrees of freedom than required by the underlying physics. The unphysical degrees of freedom must be shown not to yield unwarranted effects at every step in the formalism where explicit Lorentz covariance is required. The present work presents, in a rigorous way, a consistent formulation for the handling of noncovariant gauges in the quantization and renormalization of gauge theories. Though the path integral method is very convenient for the proof of unitarity and renormalizability of gauge theories, the canonical formalism is eventually necessary to to expose the issues in a self-consistent way. These notes are written as an introduction to postgraduate students, lecturers and researchers in the field and assume prior knowledge of quantum field theory.

Noncovariant Gauges in Canonical Formalism

Noncovariant Gauges in Canonical Formalism
Author: André Burnel
Publisher: Springer Science & Business Media
Total Pages: 248
Release: 2008-10-06
Genre: Science
ISBN: 3540699201

By definition, gauge theories - among the cornerstones of fundamental theoretical physics - involve more degrees of freedom than required by the underlying physics. The unphysical degrees of freedom must be shown not to yield unwarranted effects at every step in the formalism where explicit Lorentz covariance is required. The present work presents, in a rigorous way, a consistent formulation for the handling of noncovariant gauges in the quantization and renormalization of gauge theories. Though the path integral method is very convenient for the proof of unitarity and renormalizability of gauge theories, the canonical formalism is eventually necessary to to expose the issues in a self-consistent way. These notes are written as an introduction to postgraduate students, lecturers and researchers in the field and assume prior knowledge of quantum field theory.

Noncovariant Gauges

Noncovariant Gauges
Author: George Leibbrandt
Publisher: World Scientific
Total Pages: 232
Release: 1994
Genre: Science
ISBN: 9810213840

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.

Noncovariant Gauges: Quantization Of Yang-mills And Chern-simons Theory In Axial-type Gauges

Noncovariant Gauges: Quantization Of Yang-mills And Chern-simons Theory In Axial-type Gauges
Author: George Leibbrandt
Publisher: World Scientific
Total Pages: 232
Release: 1994-09-12
Genre: Science
ISBN: 9814504254

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.

Physical and Nonstandard Gauges

Physical and Nonstandard Gauges
Author: Peter Gaigg
Publisher: Springer
Total Pages: 328
Release: 1990
Genre: Science
ISBN:

In gauge theories, quantization can only be performed in certain fixed gauges, but physical gauges often lead to mathematical complications in the theory. In this volume recent results in noncovariant gauge fixing (including supersymmetry) and renormalizability are thoroughly discussed. It is the first comprehensive presentation of this subject written by leading experts in the field.

Yang-Mills Theories in Algebraic Non-covariant Gauges

Yang-Mills Theories in Algebraic Non-covariant Gauges
Author: A. Bassetto
Publisher: World Scientific
Total Pages: 254
Release: 1991
Genre: Science
ISBN: 9789810205782

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.

Covariant Operator Formalism Of Gauge Theories And Quantum Gravity

Covariant Operator Formalism Of Gauge Theories And Quantum Gravity
Author: Nakanishi Noboru
Publisher: World Scientific Publishing Company
Total Pages: 452
Release: 1990-11-27
Genre: Science
ISBN: 9813103868

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.

Gauge Field Theories

Gauge Field Theories
Author: Paul H. Frampton
Publisher: John Wiley & Sons
Total Pages: 368
Release: 2008-09-22
Genre: Science
ISBN: 9783527408351

The first edition of this necessary reading for cosmologists and particle astrophysicists was quickly adopted by universities and other institutions of higher learning around the world. And with the data and references updated throughout, this third edition continues to be an ideal reference on the subject. The tried-and-tested logical structuring of the material on gauge invariance, quantization, and renormalization has been retained, while the chapters on electroweak interactions and model building have been revised. Completely new is the chapter on conformality. As in the past, Frampton emphasizes formalism rather than experiments and provides sufficient detail for readers wishing to do their own calculations or pursue theoretical physics research.

Quest For Symmetry, A: Selected Works Of Bunji Sakita

Quest For Symmetry, A: Selected Works Of Bunji Sakita
Author: Keiji Kikkawa
Publisher: World Scientific
Total Pages: 372
Release: 1999-04-29
Genre: Science
ISBN: 9814495522

This important book contains selected research papers of Prof Bunji Sakita. Included are his pioneering papers on SU(6) symmetry, strong coupling theory, string theory, supersymmetry and the method of collective coordinates. There is also a vivid personal account of his journey in physics. The book brings to light some of the key concepts of modern high energy physics.

Quantum Field Theory

Quantum Field Theory
Author: Eduardo Fradkin
Publisher: Princeton University Press
Total Pages: 760
Release: 2021-03-23
Genre: Science
ISBN: 0691189552

The only graduate-level textbook on quantum field theory that fully integrates perspectives from high-energy, condensed-matter, and statistical physics Quantum field theory was originally developed to describe quantum electrodynamics and other fundamental problems in high-energy physics, but today has become an invaluable conceptual and mathematical framework for addressing problems across physics, including in condensed-matter and statistical physics. With this expansion of applications has come a new and deeper understanding of quantum field theory—yet this perspective is still rarely reflected in teaching and textbooks on the subject. Developed from a year-long graduate course Eduardo Fradkin has taught for years to students of high-energy, condensed-matter, and statistical physics, this comprehensive textbook provides a fully "multicultural" approach to quantum field theory, covering the full breadth of its applications in one volume. Brings together perspectives from high-energy, condensed-matter, and statistical physics in both the main text and exercises Takes students from basic techniques to the frontiers of physics Pays special attention to the relation between measurements and propagators and the computation of cross sections and response functions Focuses on renormalization and the renormalization group, with an emphasis on fixed points, scale invariance, and their role in quantum field theory and phase transitions Other topics include non-perturbative phenomena, anomalies, and conformal invariance Features numerous examples and extensive problem sets Also serves as an invaluable resource for researchers