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Identities For Noncovariant Gauge Integrals In The N My Formalism
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Book Synopsis Noncovariant Gauges in Canonical Formalism by : André Burnel
Download or read book Noncovariant Gauges in Canonical Formalism written by André Burnel and published by Springer. This book was released on 2009-08-29 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Noncovariant Gauges by : George Leibbrandt
Download or read book Noncovariant Gauges written by George Leibbrandt and published by World Scientific. This book was released on 1994 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 String Theory and M-Theory by : Katrin Becker
Download or read book String Theory and M-Theory written by Katrin Becker and published by Cambridge University Press. This book was released on 2006-12-07 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: String theory is one of the most exciting and challenging areas of modern theoretical physics. This book guides the reader from the basics of string theory to recent developments. It introduces the basics of perturbative string theory, world-sheet supersymmetry, space-time supersymmetry, conformal field theory and the heterotic string, before describing modern developments, including D-branes, string dualities and M-theory. It then covers string geometry and flux compactifications, applications to cosmology and particle physics, black holes in string theory and M-theory, and the microscopic origin of black-hole entropy. It concludes with Matrix theory, the AdS/CFT duality and its generalizations. This book is ideal for graduate students and researchers in modern string theory, and will make an excellent textbook for a one-year course on string theory. It contains over 120 exercises with solutions, and over 200 homework problems with solutions available on a password protected website for lecturers at www.cambridge.org/9780521860697.
Book Synopsis Quantum Field Theory: Batalin–Vilkovisky Formalism and Its Applications by : Pavel Mnev
Download or read book Quantum Field Theory: Batalin–Vilkovisky Formalism and Its Applications written by Pavel Mnev and published by American Mathematical Soc.. This book was released on 2019-08-20 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book originated from lecture notes for the course given by the author at the University of Notre Dame in the fall of 2016. The aim of the book is to give an introduction to the perturbative path integral for gauge theories (in particular, topological field theories) in Batalin–Vilkovisky formalism and to some of its applications. The book is oriented toward a graduate mathematical audience and does not require any prior physics background. To elucidate the picture, the exposition is mostly focused on finite-dimensional models for gauge systems and path integrals, while giving comments on what has to be amended in the infinite-dimensional case relevant to local field theory. Motivating examples discussed in the book include Alexandrov–Kontsevich–Schwarz–Zaboronsky sigma models, the perturbative expansion for Chern–Simons invariants of 3-manifolds given in terms of integrals over configurations of points on the manifold, the BF theory on cellular decompositions of manifolds, and Kontsevich's deformation quantization formula.
Book Synopsis Anomalies in Quantum Field Theory by : Reinhold A. Bertlmann
Download or read book Anomalies in Quantum Field Theory written by Reinhold A. Bertlmann and published by Oxford University Press. This book was released on 2000-11-02 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents the different aspects of the study of anomalies. Much emphasis is now being placed on the formulation of the theory using the mathematical ideas of differential geometry and topology. It includes derivations and calculations
Book Synopsis Heavy Quark Physics by : Aneesh V. Manohar
Download or read book Heavy Quark Physics written by Aneesh V. Manohar and published by Cambridge University Press. This book was released on 2023-07-31 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spacetime and Geometry by : Sean M. Carroll
Download or read book Spacetime and Geometry written by Sean M. Carroll and published by Cambridge University Press. This book was released on 2019-08-08 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.
Book Synopsis Supersymmetry and String Theory by : Michael Dine
Download or read book Supersymmetry and String Theory written by Michael Dine and published by Cambridge University Press. This book was released on 2007-01-04 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past decade has witnessed dramatic developments in the field of theoretical physics. This book is a comprehensive introduction to these recent developments. It contains a review of the Standard Model, covering non-perturbative topics, and a discussion of grand unified theories and magnetic monopoles. It introduces the basics of supersymmetry and its phenomenology, and includes dynamics, dynamical supersymmetry breaking, and electric-magnetic duality. The book then covers general relativity and the big bang theory, and the basic issues in inflationary cosmologies before discussing the spectra of known string theories and the features of their interactions. The book also includes brief introductions to technicolor, large extra dimensions, and the Randall-Sundrum theory of warped spaces. This will be of great interest to graduates and researchers in the fields of particle theory, string theory, astrophysics and cosmology. The book contains several problems, and password protected solutions will be available to lecturers at www.cambridge.org/9780521858410.
Book Synopsis Modern Quantum Field Theory by : Tom Banks
Download or read book Modern Quantum Field Theory written by Tom Banks and published by Cambridge University Press. This book was released on 2008-09-18 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting a variety of topics that are only briefly touched on in other texts, this book provides a thorough introduction to the techniques of field theory. Covering Feynman diagrams and path integrals, the author emphasizes the path integral approach, the Wilsonian approach to renormalization, and the physics of non-abelian gauge theory. It provides a thorough treatment of quark confinement and chiral symmetry breaking, topics not usually covered in other texts at this level. The Standard Model of particle physics is discussed in detail. Connections with condensed matter physics are explored, and there is a brief, but detailed, treatment of non-perturbative semi-classical methods. Ideal for graduate students in high energy physics and condensed matter physics, the book contains many problems,which help students practise the key techniques of quantum field theory.
Book Synopsis Relativistic Quantum Mechanics and Field Theory by : Franz Gross
Download or read book Relativistic Quantum Mechanics and Field Theory written by Franz Gross and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible, comprehensive reference to modern quantum mechanics and field theory. In surveying available books on advanced quantum mechanics and field theory, Franz Gross determined that while established books were outdated, newer titles tended to focus on recent developments and disregard the basics. Relativistic Quantum Mechanics and Field Theory fills this striking gap in the field. With a strong emphasis on applications to practical problems as well as calculations, Dr. Gross provides complete, up-to-date coverage of both elementary and advanced topics essential for a well-rounded understanding of the field. Developing the material at a level accessible even to newcomers to quantum mechanics, the book begins with topics that every physicist should know-quantization of the electromagnetic field, relativistic one body wave equations, and the theoretical explanation of atomic decay. Subsequent chapters prepare readers for advanced work, covering such major topics as gauge theories, path integral techniques, spontaneous symmetry breaking, and an introduction to QCD, chiral symmetry, and the Standard Model. A special chapter is devoted to relativistic bound state wave equations-an important topic that is often overlooked in other books. Clear and concise throughout, Relativistic Quantum Mechanics and Field Theory boasts examples from atomic and nuclear physics as well as particle physics, and includes appendices with background material. It is an essential reference for anyone working in quantum mechanics today.
Book Synopsis Lectures in Theoretical Physics by :
Download or read book Lectures in Theoretical Physics written by and published by . This book was released on 1971 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Quantum Effects in Gravity by : Viatcheslav Mukhanov
Download or read book Introduction to Quantum Effects in Gravity written by Viatcheslav Mukhanov and published by Cambridge University Press. This book was released on 2007-06-14 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher description
Book Synopsis Mathematical Methods For Physics by : H. W. Wyld
Download or read book Mathematical Methods For Physics written by H. W. Wyld and published by CRC Press. This book was released on 2018-03-14 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.
Book Synopsis The Anomalous Magnetic Moment of the Muon by : Fred Jegerlehner
Download or read book The Anomalous Magnetic Moment of the Muon written by Fred Jegerlehner and published by Springer Science & Business Media. This book was released on 2008 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews the present state of knowledge of the anomalous magnetic moment a=(g-2)/2 of the muon. The muon anomalous magnetic moment is one of the most precisely measured quantities in elementary particle physics and provides one of the most stringent tests of relativistic quantum field theory as a fundamental theoretical framework. It allows for an extremely precise check of the standard model of elementary particles and of its limitations.
Book Synopsis Quantum Spaces by : Vincent Rivasseau
Download or read book Quantum Spaces written by Vincent Rivasseau and published by Springer Science & Business Media. This book was released on 2007-12-22 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book confirms noncommutative geometry as an increasingly useful tool for the description of intricate condensed matter phenomena. It describes the striking progress recently made in gathering all the interactions and fields of the standard model into a non-commutative geometry on a simple internal space. Coverage also details the very recent technique of renormalization of quantum field theories on non-commutative space-time.
Book Synopsis The Little Book of String Theory by : Steven S. Gubser
Download or read book The Little Book of String Theory written by Steven S. Gubser and published by Princeton University Press. This book was released on 2010-02-08 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential beginner's guide to string theory The Little Book of String Theory offers a short, accessible, and entertaining introduction to one of the most talked-about areas of physics today. String theory has been called the "theory of everything." It seeks to describe all the fundamental forces of nature. It encompasses gravity and quantum mechanics in one unifying theory. But it is unproven and fraught with controversy. After reading this book, you'll be able to draw your own conclusions about string theory. Steve Gubser begins by explaining Einstein's famous equation E = mc2, quantum mechanics, and black holes. He then gives readers a crash course in string theory and the core ideas behind it. In plain English and with a minimum of mathematics, Gubser covers strings, branes, string dualities, extra dimensions, curved spacetime, quantum fluctuations, symmetry, and supersymmetry. He describes efforts to link string theory to experimental physics and uses analogies that nonscientists can understand. How does Chopin's Fantasie-Impromptu relate to quantum mechanics? What would it be like to fall into a black hole? Why is dancing a waltz similar to contemplating a string duality? Find out in the pages of this book. The Little Book of String Theory is the essential, most up-to-date beginner's guide to this elegant, multidimensional field of physics.
Book Synopsis Poincare's Legacies, Part I by : Terence Tao
Download or read book Poincare's Legacies, Part I written by Terence Tao and published by American Mathematical Soc.. This book was released on 2009 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on ergodic theory, combinatorics, and number theory. This book discusses a variety of topics, ranging from developments in additive prime number theory to expository articles on individual mathematical topics such as the law of large numbers and the Lucas-Lehmer test for Mersenne primes.
