Symmetry Breaking

Symmetry Breaking

by Franco Strocchi

Paperback(Softcover reprint of hardcover 2nd ed. 2008)

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Product Details

ISBN-13: 9783642092732
Publisher: Springer Berlin Heidelberg
Publication date: 11/19/2010
Series: Lecture Notes in Physics , #732
Edition description: Softcover reprint of hardcover 2nd ed. 2008
Pages: 216
Product dimensions: 6.10(w) x 9.25(h) x (d)

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.

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