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Table of contents

  1. Front Matter
  2. Franco Strocchi
    Pages 3-6
  3. Franco Strocchi
    Pages 7-8
  4. Franco Strocchi
    Pages 9-11
  5. Franco Strocchi
    Pages 13-16
  6. Franco Strocchi
    Pages 21-28
  7. Franco Strocchi
    Pages 29-31
  8. Franco Strocchi
    Pages 39-43
  9. Franco Strocchi
    Pages 45-49
  10. Franco Strocchi
    Pages 51-60
  11. Franco Strocchi
    Pages 63-66
  12. Franco Strocchi
    Pages 73-79
  13. Franco Strocchi
    Pages 81-87
  14. Franco Strocchi
    Pages 95-98
  15. Franco Strocchi
    Pages 99-103
  16. Franco Strocchi
    Pages 105-113
  17. Franco Strocchi
    Pages 115-122
  18. Franco Strocchi
    Pages 123-125
  19. Franco Strocchi
    Pages 127-130
  20. Franco Strocchi
    Pages 131-138
  21. Franco Strocchi
    Pages 139-150
  22. Franco Strocchi
    Pages 151-157
  23. Franco Strocchi
    Pages 159-160
  24. Franco Strocchi
    Pages 193-196
  25. Back Matter

About this book

Introduction

The intriguing mechanism of spontaneous symmetry breaking is a powerful innovative idea at the basis of most of the recent developments in theoretical physics, from statistical mechanics to many-body theory to elementary particles theory; for infinitely extended systems a symmetric Hamiltonian can account for non symmetric behaviours, giving rise to non symmetric realizations of a physical system.

In the first part of this book, devoted to classical field theory, such a mechanism is explained in terms of the occurrence of disjoint sectors and their stability properties and of an improved version of the Noether theorem.

For infinitely extended quantum systems, discussed in the second part, the mechanism is related to the occurrence of disjoint pure phases and characterized by a symmetry breaking order parameter, for which non perturbative criteria are discussed, following Wightman, and contrasted with the standard Goldstone perturbative strategy. The Goldstone theorem is discussed with a critical look at the hypotheses that emphasizes the crucial role of the dynamical delocalization induced by the interaction range. The Higgs mechanism in local gauges is explained in terms of the Gauss law constraint on the physical states. The mathematical details are kept to the minimum required to make the book accessible to students with basic knowledge of Hilbert space structures. Much of the material has not  appeared in other textbooks.

Keywords

Goldstone Theorem Higgs Mechanism Spontaneous Symmetry Breaking Theoretical physics gauge theory

Bibliographic information

  • DOI https://doi.org/10.1007/b95211
  • Copyright Information Springer-Verlag Berlin/Heidelberg 2005
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-540-21318-5
  • Online ISBN 978-3-540-31536-0
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site