Classical Theory of Gauge Fields
By Valery Rubakov and Stephen S. Wilson
()
About this ebook
Based on a highly regarded lecture course at Moscow State University, this is a clear and systematic introduction to gauge field theory. It is unique in providing the means to master gauge field theory prior to the advanced study of quantum mechanics. Though gauge field theory is typically included in courses on quantum field theory, many of its ideas and results can be understood at the classical or semi-classical level. Accordingly, this book is organized so that its early chapters require no special knowledge of quantum mechanics. Aspects of gauge field theory relying on quantum mechanics are introduced only later and in a graduated fashion--making the text ideal for students studying gauge field theory and quantum mechanics simultaneously.
The book begins with the basic concepts on which gauge field theory is built. It introduces gauge-invariant Lagrangians and describes the spectra of linear perturbations, including perturbations above nontrivial ground states. The second part focuses on the construction and interpretation of classical solutions that exist entirely due to the nonlinearity of field equations: solitons, bounces, instantons, and sphalerons. The third section considers some of the interesting effects that appear due to interactions of fermions with topological scalar and gauge fields. Mathematical digressions and numerous problems are included throughout. An appendix sketches the role of instantons as saddle points of Euclidean functional integral and related topics.
Perfectly suited as an advanced undergraduate or beginning graduate text, this book is an excellent starting point for anyone seeking to understand gauge fields.
Related to Classical Theory of Gauge Fields
Related ebooks
Foundations of High-Energy Astrophysics Rating: 5 out of 5 stars5/5Dynamics of Planetary Systems Rating: 0 out of 5 stars0 ratingsArnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom: (AMS-208) Rating: 0 out of 5 stars0 ratingsElliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48) Rating: 0 out of 5 stars0 ratingsExoplanetary Atmospheres: Theoretical Concepts and Foundations Rating: 0 out of 5 stars0 ratingsGlobal Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations: (AMS-210) Rating: 0 out of 5 stars0 ratingsThe Finite Element Method for Electromagnetic Modeling Rating: 0 out of 5 stars0 ratingsTheory of Ionospheric Waves Rating: 0 out of 5 stars0 ratingsThe Arithmetic of Polynomial Dynamical Pairs: (AMS-214) Rating: 0 out of 5 stars0 ratingsGeneralized Least Squares Rating: 0 out of 5 stars0 ratingsMarkov Processes and Applications: Algorithms, Networks, Genome and Finance Rating: 0 out of 5 stars0 ratingsA Course on Surgery Theory: (AMS-211) Rating: 0 out of 5 stars0 ratingsDynamics for Engineers Rating: 0 out of 5 stars0 ratingsStatistical Orbit Determination Rating: 5 out of 5 stars5/5Delay Differential Equations: With Applications in Population Dynamics Rating: 0 out of 5 stars0 ratingsDifferential Topology Rating: 0 out of 5 stars0 ratingsErbium-Doped Fiber Amplifiers: Fundamentals and Technology Rating: 5 out of 5 stars5/5Error-controlled Adaptive Finite Elements in Solid Mechanics Rating: 0 out of 5 stars0 ratingsRandom Matrices Rating: 3 out of 5 stars3/5Particle Mechanics Rating: 4 out of 5 stars4/5Nano Mechanics and Materials: Theory, Multiscale Methods and Applications Rating: 0 out of 5 stars0 ratingsThe Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures: (AMS-197) Rating: 0 out of 5 stars0 ratingsElastic Beams and Frames Rating: 0 out of 5 stars0 ratingsIntroduction to Compact Transformation Groups Rating: 0 out of 5 stars0 ratingsGroups & Geometric Analysis: Radon Transforms, Invariant Differential Operators and Spherical Functions: Volume 1 Rating: 0 out of 5 stars0 ratingsThe Real Fatou Conjecture. (AM-144), Volume 144 Rating: 0 out of 5 stars0 ratingsInverse Problems and Inverse Scattering of Plane Waves Rating: 0 out of 5 stars0 ratingsAutomata, Languages, and Machines Rating: 4 out of 5 stars4/5The Einstein-Klein-Gordon Coupled System: Global Stability of the Minkowski Solution: (AMS-213) Rating: 0 out of 5 stars0 ratingsCausal Symmetric Spaces Rating: 0 out of 5 stars0 ratings
Physics For You
Physics I For Dummies Rating: 4 out of 5 stars4/5Basic Physics: A Self-Teaching Guide Rating: 5 out of 5 stars5/5How to Diagnose and Fix Everything Electronic, Second Edition Rating: 4 out of 5 stars4/5What If?: Serious Scientific Answers to Absurd Hypothetical Questions Rating: 5 out of 5 stars5/5Moving Through Parallel Worlds To Achieve Your Dreams Rating: 4 out of 5 stars4/5The Nature of Space and Time Rating: 5 out of 5 stars5/5Physics Essentials For Dummies Rating: 4 out of 5 stars4/5Step By Step Mixing: How to Create Great Mixes Using Only 5 Plug-ins Rating: 5 out of 5 stars5/5Quantum Physics: A Beginners Guide to How Quantum Physics Affects Everything around Us Rating: 5 out of 5 stars5/5The Reality Revolution: The Mind-Blowing Movement to Hack Your Reality Rating: 4 out of 5 stars4/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Vibration and Frequency: How to Get What You Want in Life Rating: 4 out of 5 stars4/5What the Bleep Do We Know!?™: Discovering the Endless Possibilities for Altering Your Everyday Reality Rating: 5 out of 5 stars5/5How to Teach Quantum Physics to Your Dog Rating: 4 out of 5 stars4/5Welcome to the Universe: An Astrophysical Tour Rating: 4 out of 5 stars4/5Midnight in Chernobyl: The Untold Story of the World's Greatest Nuclear Disaster Rating: 4 out of 5 stars4/5Feynman Lectures Simplified 1A: Basics of Physics & Newton's Laws Rating: 5 out of 5 stars5/5DIY Lithium Battery Rating: 3 out of 5 stars3/5String Theory For Dummies Rating: 4 out of 5 stars4/5Unlocking Spanish with Paul Noble Rating: 5 out of 5 stars5/5Flatland Rating: 4 out of 5 stars4/5The God Effect: Quantum Entanglement, Science's Strangest Phenomenon Rating: 4 out of 5 stars4/5QED: The Strange Theory of Light and Matter Rating: 4 out of 5 stars4/5A Universe from Nothing: Why There Is Something Rather than Nothing Rating: 4 out of 5 stars4/5God Particle: If the Universe Is the Answer, What Is the Question? Rating: 5 out of 5 stars5/5A Brief Welcome to the Universe: A Pocket-Sized Tour Rating: 5 out of 5 stars5/5The Dancing Wu Li Masters: An Overview of the New Physics Rating: 4 out of 5 stars4/5Beyond Weird: Why Everything You Thought You Knew about Quantum Physics Is Different Rating: 4 out of 5 stars4/5
Reviews for Classical Theory of Gauge Fields
0 ratings0 reviews