Description

Book Synopsis
The book provides a non-perturbative approach to the symmetry breaking in the standard model, in this way avoiding the critical issues which affect the standard presentations. The debated empirical meaning of global and local gauge symmetries is clarified. The absence of Goldstone bosons in the Higgs mechanism is non-perturbatively explained by the validity of Gauss laws obeyed by the currents which generate the relatedglobal gauge symmetry. The solution of the U(1) problem and the vacuum structure in quantum chromodynamics (QCD) are obtained without recourse to the problematic semiclassical instanton approximation, by rather exploiting the topology of the gauge group.

Table of Contents
Spontaneous symmetry breaking.- Goldstone theorem. Breaking gauge symmetries.- Higgs mechanism.- U(1) problem in QCD; a solution without instantons.- Gauge group topology and $\theta$ vacuum structure.

Symmetry Breaking in the Standard Model: A

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    A Paperback / softback by Franco Strocchi

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      Publisher: Birkhauser Verlag AG
      Publication Date: 03/07/2019
      ISBN13: 9788876426599, 978-8876426599
      ISBN10: 8876426590
      Also in:
      Science & Nature Mathematical / Computational / Theoretical physics Particle and high-energy physics

      Description

      Book Synopsis
      The book provides a non-perturbative approach to the symmetry breaking in the standard model, in this way avoiding the critical issues which affect the standard presentations. The debated empirical meaning of global and local gauge symmetries is clarified. The absence of Goldstone bosons in the Higgs mechanism is non-perturbatively explained by the validity of Gauss laws obeyed by the currents which generate the relatedglobal gauge symmetry. The solution of the U(1) problem and the vacuum structure in quantum chromodynamics (QCD) are obtained without recourse to the problematic semiclassical instanton approximation, by rather exploiting the topology of the gauge group.

      Table of Contents
      Spontaneous symmetry breaking.- Goldstone theorem. Breaking gauge symmetries.- Higgs mechanism.- U(1) problem in QCD; a solution without instantons.- Gauge group topology and $\theta$ vacuum structure.

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