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Quantum Field Theory

An Integrated Approach

Eduardo Fradkin

PDF
ca. 97,99
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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Naturwissenschaften allgemein

Beschreibung

The only graduate-level textbook on quantum field theory that fully integrates perspectives from high-energy, condensed-matter, and statistical physics

Quantum 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 "multicultural" 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 exercises
  • Takes students from basic techniques to the frontiers of physics
  • Pays special attention to the relation between measurements and propagators and the computation of cross sections and response functions
  • Focuses on renormalization and the renormalization group, with an emphasis on fixed points, scale invariance, and their role in quantum field theory and phase transitions
  • Other topics include non-perturbative phenomena, anomalies, and conformal invariance
  • Features numerous examples and extensive problem sets
  • Also serves as an invaluable resource for researchers

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Schlagwörter

Dirac operator, Ground state, Path integral formulation, Degrees of freedom (mechanics), Scalar field, Expectation value (quantum mechanics), Spontaneous symmetry breaking, Renormalization, Renormalization group, Gauge theory, Two-dimensional space, Primary field, Feynman diagram, Weyl semimetal, Phase transition, Goldstone boson, Reciprocal lattice, Classical electromagnetism, Harmonic oscillator, Instanton, Coupling constant, Creation and annihilation operators, Vertex function, Correspondence principle, Imaginary time, Ising model, Fock space, Scale invariance, Partition function (statistical mechanics), Minkowski space, Minimal subtraction scheme, Effective potential, Scaling dimension, Schwinger model, Wilson loop, Canonical quantization, Klein–Gordon equation, Self-energy, Local symmetry, Statistical mechanics, Magnetic susceptibility, Anyon, Gauge fixing, WKB approximation, Galilean transformation, Topological order, Dirac delta function, Bessel function, Perturbation theory (quantum mechanics), Effective action, Heisenberg picture, Quantum mechanics, Quantum fluctuation, Conformal field theory, Global symmetry, Lagrangian (field theory), Scalar field theory, Stress–energy tensor, Propagator, 1/N expansion, Yang–Mills theory, Lorentz covariance, Equations of motion, Length scale, Spherical model, Operator product expansion, Fermion, Dimensional regularization, Unitarity (physics), Bose–Einstein statistics