Classical Theory of Gauge Fields

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A01=Valery Rubakov
Antisymmetric tensor
Author_Valery Rubakov
Category=PH
Classical electromagnetism
Classical limit
Classical mechanics
Condensed matter physics
Coupling constant
Dirac equation
Dirac fermion
Dirac operator
Dirac spinor
Dirac string
Eigenfunction
Electric charge
Electric dipole moment
Electromagnetic four-potential
Electron neutrino
Electroweak interaction
Elementary particle
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Equation
Expectation value (quantum mechanics)
Fermi energy
Fermion
Gauge function
Gauge theory
Gaussian integral
Global symmetry
Ground state
Helicity (particle physics)
Higgs boson
Higgs mechanism
Instanton
Lagrangian (field theory)
Lepton number
Lie algebra
Linear differential equation
Lorentz covariance
Lorentz scalar
Lorentz transformation
Magnetic monopole
Mass-energy equivalence
Minkowski space
Multipole expansion
Neutrino
Perturbation theory
Perturbation theory (quantum mechanics)
Probability
Quantum chromodynamics
Quantum electrodynamics
Quantum mechanics
Quantum number
Renormalization
Sard's theorem
Scalar (physics)
Scalar electrodynamics
Scalar field theory
Sine-Gordon equation
Soliton
Special relativity
Sphaleron
Spin (physics)
Stokes' theorem
Stress-energy tensor
Supersymmetric gauge theory
Theoretical physics
Unitarity (physics)
Variational method (quantum mechanics)
Vector boson
Virial theorem
Wave function
Weyl equation

Product details

  • ISBN 9780691059273
  • Weight: 794g
  • Dimensions: 152 x 235mm
  • Publication Date: 26 May 2002
  • Publisher: Princeton University Press
  • Publication City/Country: US
  • Product Form: Hardback
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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.
Valery Rubakov is Professor of Physics at Moscow State University. A Member of the Russian Academy of Sciences, he was awarded its A.A. Friedmann Prize in 1999.

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