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Spontaneous breakdown of symmetry and the Goldstone theorem

      https://doi.org/10.1142/9781848162815_0003Cited by:0 (Source: Crossref)
      Abstract:

      The following sections are included:

      • Introduction

      • Invariance and symmetry

      • Irreducible representations of the symmetry group

      • Symmetry and the vacuum manifold

      • Boson transformation and inequivalent representations

      • Spontaneous symmetry breaking and functional integrals

      • The Goldstone theorem

        • U(1) symmetry

        • SU(2) symmetry

      • Spontaneous symmetry breaking in local gauge theories

        • The U(1) local gauge model

        • The chiral gauge model

      • Finite volume effects

      • Space-time dimensionality

      • Appendix I The order parameter space

      • Appendix J The Mermin—Wagner—Coleman theorem