Classical Theory of Gauge Fields (eBook)

Valery Rubakov (Autor)

eBook Download: PDF

2009
Princeton University Press (Verlag)
978-1-4008-2509-7 (ISBN)

Infos

Valery Rubakov is Professor of Physics at Moscow State University. He is a Member of the Russian Academy of Sciences and was awarded its A. A. Friedmann Prize in 1999.

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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.

Produkt-Details

• Erscheint lt. Verlag: 9.2.2009
• Übersetzer: Stephen S. Wilson
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Angewandte Physik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Plasmaphysik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
• Themenwelt: Technik
• Schlagworte: Angular momentum operator • antisymmetric tensor • Arrhenius equation • Basis (linear algebra) • Boltzmann constant • Boltzmann distribution • classical electromagnetism • classical limit • classical mechanics • commutative property • Condensed matter physics • Conservation of Energy • Continuity equation • Continuous spectrum • cosmic string • coupling constant • C-symmetry • Dirac equation • Dirac fermion • Dirac Operator • Dirac spinor • Dirac String • Eigenfunction • Eigenvalues and Eigenvectors • electric charge • Electric dipole moment • Electromagnetic four-potential • electromagnetism • Electron neutrino • Electronvolt • Electroweak interaction • elementary particle • energy level • Equation • Equations of motion • Expectation value (quantum mechanics) • Fermi energy • Fermion • Gauge boson • gauge function • Gauge Theory • Gaussian integral • Global anomaly • Global symmetry • ground state • Helicity (particle physics) • Higgs boson • Higgs Mechanism • instanton • Lagrangian (field theory) • length scale • lepton number • Lie algebra • linear differential equation • linear equation • Lorentz covariance • Lorentz scalar • Lorentz transformation • Magnetic moment • magnetic monopole • mass–energy equivalence • Minkowski space • multipole expansion • Neutrino • Nucleon • Particle physics • Path integral formulation • perturbation theory • Perturbation theory (quantum mechanics) • power series • Probability • Projection (linear algebra) • Quantum Chromodynamics • quantum electrodynamics • quantum mechanics • Quantum number • renormalization • Sard's theorem • Scalar electrodynamics • Scalar field theory • Scalar (physics) • Scalar potential • Schwinger model • Sign (mathematics) • 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 • Weyl Semimetal
• ISBN-10: 1-4008-2509-1 / 1400825091
• ISBN-13: 978-1-4008-2509-7 / 9781400825097