Methods of Contemporary Gauge Theory
Author | : Yuri Makeenko |
Publisher | : Cambridge University Press |
Total Pages | : 433 |
Release | : 2023-07-31 |
Genre | : Science |
ISBN | : 1009402056 |
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Author | : Yuri Makeenko |
Publisher | : Cambridge University Press |
Total Pages | : 433 |
Release | : 2023-07-31 |
Genre | : Science |
ISBN | : 1009402056 |
Author | : Robert Oeckl |
Publisher | : Imperial College Press |
Total Pages | : 218 |
Release | : 2005 |
Genre | : Science |
ISBN | : 1860947379 |
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.
Author | : Lev V. Prokhorov |
Publisher | : Cambridge University Press |
Total Pages | : 485 |
Release | : 2011-09-22 |
Genre | : Science |
ISBN | : 1139500902 |
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.
Author | : Joseph I. Kapusta |
Publisher | : Cambridge University Press |
Total Pages | : 441 |
Release | : 2006-08-03 |
Genre | : Science |
ISBN | : 1139457624 |
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.
Author | : Andreas Recknagel |
Publisher | : Cambridge University Press |
Total Pages | : 349 |
Release | : 2013-11-28 |
Genre | : Science |
ISBN | : 1107511801 |
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.
Author | : Michio Kaku |
Publisher | : |
Total Pages | : 812 |
Release | : 1993 |
Genre | : Science |
ISBN | : |
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.
Author | : Juan A. Valiente Kroon |
Publisher | : Cambridge University Press |
Total Pages | : 627 |
Release | : 2023-01-31 |
Genre | : Science |
ISBN | : 1009291343 |
This 2016 volume, now reissued as OA, shows how conformal methods can be used to study Einstein's theory of gravity.
Author | : R. J. Rivers |
Publisher | : Cambridge University Press |
Total Pages | : 356 |
Release | : 1988-10-27 |
Genre | : Science |
ISBN | : 9780521368704 |
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.
Author | : Yakov M. Shnir |
Publisher | : Cambridge University Press |
Total Pages | : 281 |
Release | : 2018-07-26 |
Genre | : Science |
ISBN | : 1108429912 |
An introduction to integrable and non-integrable scalar field models, with topological and non-topological soliton solutions. Focusing on both topological and non-topological solitons, this book brings together discussion of solitary waves and construction of soliton solutions and provides a discussion of solitons using simple model examples.
Author | : Esteban A. Calzetta |
Publisher | : Cambridge University Press |
Total Pages | : 553 |
Release | : 2023-01-31 |
Genre | : Science |
ISBN | : 1009289985 |
This 2008 book, reissued as OA, captures the essence of nonequilibrium quantum field theory, graduate students and researchers.