Symmetry Breaking

This new edition of Prof. Strocchi's well received primer on rigorous aspects of symmetry breaking presents a more detailed and thorough discussion of the mechanism of symmetry breaking in classical field theory in relation with the Noether theorem. Moreover, the link between symmetry breaking...

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Bibliographic Details
Main Author: Strocchi, Franco (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Edition:Second Edition.
Series:Lecture Notes in Physics, 732
Subjects:
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Symmetry Breaking in Classical Systems
  • Symmetries of a Classical System
  • Spontaneous Symmetry Breaking
  • Symmetries in Classical Field Theory
  • General Properties of Solutions of Classical Field Equations
  • Stable Structures, Hilbert Sectors, Phases
  • Stability under Space Translations. Positive Energy
  • Noether Theorem and Symmetry Breaking
  • Examples
  • The Goldstone Theorem
  • Symmetry Breaking in Quantum Systems
  • Quantum Mechanics. Algebraic Structure and States
  • Fock Representation
  • Non-Fock Representations
  • Mathematical Description of Infinitely Extended Quantum Systems
  • Physically Relevant Representations
  • Cluster Property and Pure Phases
  • Examples
  • Symmetry Breaking in Quantum Systems
  • Examples
  • Constructive Symmetry Breaking
  • Symmetry Breaking in the Ising Model
  • Thermal States
  • Fermi and Bose Gas at Non-zero Temperature
  • Quantum Fields at Non-zero Temperature
  • Breaking of Continuous Symmetries. Goldstone’s Theorem
  • The Goldstone Theorem at Non-zero Temperature
  • The Goldstone Theorem for Relativistic Local Fields
  • An Extension of Goldstone Theorem to Non-symmetric Hamiltonians
  • Symmetry Breaking in Gauge Theories
  • Erratum
  • Erratum.