Quantum Field Theory (eBook)

An Integrated Approach

Eduardo Fradkin (Autor)

eBook Download: PDF

2021
760 Seiten
Princeton University Press (Verlag)
978-0-691-18955-0 (ISBN)

Infos

The only graduate-level textbook on quantum field theory that fully integrates perspectives from high-energy, condensed-matter, and statistical physicsQuantum field theory was originally developed to describe quantum electrodynamics and other fundamental problems in high-energy physics, but today has become an invaluable conceptual and mathematical framework for addressing problems across physics, including in condensed-matter and statistical physics. With this expansion of applications has come a new and deeper understanding of quantum field theory-yet this perspective is still rarely reflected in teaching and textbooks on the subject. Developed from a year-long graduate course Eduardo Fradkin has taught for years to students of high-energy, condensed-matter, and statistical physics, this comprehensive textbook provides a fully "e;multicultural"e; approach to quantum field theory, covering the full breadth of its applications in one volume.Brings together perspectives from high-energy, condensed-matter, and statistical physics in both the main text and exercisesTakes students from basic techniques to the frontiers of physicsPays special attention to the relation between measurements and propagators and the computation of cross sections and response functionsFocuses on renormalization and the renormalization group, with an emphasis on fixed points, scale invariance, and their role in quantum field theory and phase transitionsOther topics include non-perturbative phenomena, anomalies, and conformal invarianceFeatures numerous examples and extensive problem setsAlso serves as an invaluable resource for researchers

Produkt-Details

• Erscheint lt. Verlag: 23.3.2021
• Zusatzinfo: 161 b/w illus.
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
• Schlagworte: 1/N expansion • 1/N expansions • Aharonov–Bohm effect • Anderson localization • Anyon • asymptotic freedom • Bessel function • Bose–Einstein statistics • Canonical commutation relation • canonical quantization • Chern–Simons theory • Chiral model • classical electromagnetism • Classical Field Theory • classical limit • classical symmetries • coherent-state path integral quantization • Compactification (physics) • conformal field theory • conservation law • conservation laws • Continuous spectrum • continuous symmetry • Correlation function (quantum field theory) • Correspondence principle • coupling constant • Creation and annihilation operators • Critical dimension • Degrees of freedom (mechanics) • Dimensional regularization • Dirac delta function • Dirac fermion • Dirac Operator • Effective action • effective potential • effective potentials • energy level • Equations of motion • Expectation value (quantum mechanics) • Faddeev–Popov ghost • Fermi–Dirac statistics • Fermion • Fermion doubling • Fermionic field • Feynman diagram • Feynman diagrams • First-order partial differential equation • Fock space • Galilean Transformation • Gauge Fixing • Gauge Theory • Global symmetry • Goldstone boson • ground state • Harmonic oscillator • Heisenberg picture • Imaginary Time • instanton • instantons • Ising Model • Klein–Gordon equation • Lagrangian (field theory) • length scale • Local symmetry • Lorentz covariance • magnetic susceptibility • Minimal subtraction scheme • Minkowski space • non-abelian • nonrelativistic field theory • observables • Operator Product Expansion • Partition function (statistical mechanics) • Path integral formulation • path integrals • perturbation theory • Perturbation theory (quantum mechanics) • perturbative renormalization group • phases of gauge theories • phase transition • Primary field • Propagator • quantization of gauge fields • quantization of the free Dirac field • quantum field theory • Quantum fluctuation • Quantum Hall Effect • quantum mechanics • Quantum number • Reciprocal Lattice • renormalization • Renormalization Group • Scalar Field • Scalar field theory • scale invariance • Scaling dimension • Schwinger model • self-energy • Sign convention • Soliton • Solitons • SPHERICAL MODEL • Spontaneous Symmetry Breaking • Statistical Mechanics • Stress–energy tensor • Thermodynamic Limit • Topological defect • Topological Field Theory • Topological Order • two-dimensional space • Unitarity (physics) • Universality class • Vertex function • vertex functions • Weyl Semimetal • Wilson Loop • WKB approximation • Yang–Mills Theory • Zero mode
• ISBN-10: 0-691-18955-2 / 0691189552
• ISBN-13: 978-0-691-18955-0 / 9780691189550