Methods of Contemporary Gauge Theory
Author : Yuri Makeenko
Publisher : Cambridge University Press
Page : 433 pages
File Size : 46,22 MB
Release : 2023-07-31
Category : Science
ISBN : 1009402056
Discrete Gauge Theory
Author : Robert Oeckl
Publisher : Imperial College Press
Page : 218 pages
File Size : 26,82 MB
Release : 2005
Category : Science
ISBN : 1860947379
Book Description
This book provides an introduction to topological quantum field theory as well as discrete gauge theory with quantum groups. In contrast to much of the existing literature, the present approach is at the same time intuitive and mathematically rigorous, making extensive use of suitable diagrammatic methods. It provides a highly unified description of lattice gauge theory, topological quantum field theory and models of quantum (super)gravity. The reader is thus in a unique position to understand the relations between these subjects as well as the underlying groundwork.
Hamiltonian Mechanics of Gauge Systems
Author : Lev V. Prokhorov
Publisher : Cambridge University Press
Page : 485 pages
File Size : 50,30 MB
Release : 2011-09-22
Category : Science
ISBN : 1139500902
Book Description
The principles of gauge symmetry and quantization are fundamental to modern understanding of the laws of electromagnetism, weak and strong subatomic forces and the theory of general relativity. Ideal for graduate students and researchers in theoretical and mathematical physics, this unique book provides a systematic introduction to Hamiltonian mechanics of systems with gauge symmetry. The book reveals how gauge symmetry may lead to a non-trivial geometry of the physical phase space and studies its effect on quantum dynamics by path integral methods. It also covers aspects of Hamiltonian path integral formalism in detail, along with a number of related topics such as the theory of canonical transformations on phase space supermanifolds, non-commutativity of canonical quantization and elimination of non-physical variables. The discussion is accompanied by numerous detailed examples of dynamical models with gauge symmetries, clearly illustrating the key concepts.
Gauge Fields and Strings
Author : Polyakov
Publisher : Routledge
Page : 316 pages
File Size : 42,39 MB
Release : 2018-05-02
Category : Mathematics
ISBN : 1351446088
Book Description
Based on his own work, the author synthesizes the most promising approaches and ideals in field theory today. He presents such subjects as statistical mechanics, quantum field theory and their interrelation, continuous global symmetry, non-Abelian gauge fields, instantons and the quantam theory of loops, and quantum strings and random surfaces. This book is aimed at postgraduate students studying field theory and statistical mechanics, and for research workers in continuous global theory.
Path Integral Methods in Quantum Field Theory
Author : R. J. Rivers
Publisher : Cambridge University Press
Page : 356 pages
File Size : 18,51 MB
Release : 1988-10-27
Category : Science
ISBN : 9780521368704
Book Description
The applications of functional integral methods introduced in this text for solving a range of problems in quantum field theory will prove useful for students and researchers in theoretical physics and quantum field theory.
Quantum Field Theory
Author : Michio Kaku
Publisher :
Page : 812 pages
File Size : 20,72 MB
Release : 1993
Category : Science
ISBN :
Book Description
The rise of quantum electrodynamics (QED) made possible a number of excellent textbooks on quantum field theory in the 1960s. However, the rise of quantum chromodynamics (QCD) and the Standard Model has made it urgent to have a fully modern textbook for the 1990s and beyond. Building on the foundation of QED, Quantum Field Theory: A Modern Introduction presents a clear and comprehensive discussion of the gauge revolution and the theoretical and experimental evidence which makes the Standard Model the leading theory of subatomic phenomena. The book is divided into three parts: Part I, Fields and Renormalization, lays a solid foundation by presenting canonical quantization, Feynman rules and scattering matrices, and renormalization theory. Part II, Gauge Theory and the Standard Model, focuses on the Standard Model and discusses path integrals, gauge theory, spontaneous symmetry breaking, the renormalization group, and BPHZ quantization. Part III, Non-perturbative Methods and Unification, discusses more advanced methods which now form an essential part of field theory, such as critical phenomena, lattice gauge theory, instantons, supersymmetry, quantum gravity, supergravity, and superstrings.
Finite-Temperature Field Theory
Author : Joseph I. Kapusta
Publisher : Cambridge University Press
Page : 441 pages
File Size : 45,70 MB
Release : 2006-08-03
Category : Science
ISBN : 1139457624
Book Description
The 2006 second edition of this book develops the basic formalism and theoretical techniques for studying relativistic quantum field theory at high temperature and density. Specific physical theories treated include QED, QCD, electroweak theory, and effective nuclear field theories of hadronic and nuclear matter. Topics include: functional integral representation of the partition function, diagrammatic expansions, linear response theory, screening and plasma oscillations, spontaneous symmetry breaking, Goldstone theorem, resummation and hard thermal loops, lattice gauge theory, phase transitions, nucleation theory, quark-gluon plasma, and color superconductivity. Applications to astrophysics and cosmology cover white dwarf and neutron stars, neutrino emissivity, baryon number violation in the early universe, and cosmological phase transitions. Applications to relativistic nucleus-nucleus collisions are also included. The book is written for theorists in elementary particle physics, nuclear physics, astrophysics, and cosmology. Problems are given at the end of each chapter, and numerous references to the literature are included.
Boundary Conformal Field Theory and the Worldsheet Approach to D-Branes
Author : Andreas Recknagel
Publisher : Cambridge University Press
Page : 349 pages
File Size : 20,51 MB
Release : 2013-11-28
Category : Science
ISBN : 1107511801
Book Description
Boundary conformal field theory is concerned with a class of two-dimensional quantum field theories which display a rich mathematical structure and have many applications ranging from string theory to condensed matter physics. In particular, the framework allows discussion of strings and branes directly at the quantum level. Written by internationally renowned experts, this comprehensive introduction to boundary conformal field theory reaches from theoretical foundations to recent developments, with an emphasis on the algebraic treatment of string backgrounds. Topics covered include basic concepts in conformal field theory with and without boundaries, the mathematical description of strings and D-branes, and the geometry of strongly curved spacetime. The book offers insights into string geometry that go beyond classical notions. Describing the theory from basic concepts, and providing numerous worked examples from conformal field theory and string theory, this reference is of interest to graduate students and researchers in physics and mathematics.
Gauge Fields
Author : L. D. Faddeev
Publisher : CRC Press
Page : 236 pages
File Size : 24,67 MB
Release : 2018-03-05
Category : Science
ISBN : 0429962371
Book Description
First Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company.
Conformal Methods in General Relativity
Author : Juan A. Valiente Kroon
Publisher : Cambridge University Press
Page : 627 pages
File Size : 40,59 MB
Release : 2023-01-31
Category : Science
ISBN : 1009291343
Book Description
This 2016 volume, now reissued as OA, shows how conformal methods can be used to study Einstein's theory of gravity.
