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 QCD are obtained without recourse to the problematic semiclassical instanton approximation, by rather exploiting the topology of the gauge group.
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.
Provides a non-perturbative approach to the symmetry breaking in the standard model Clarifies the empirical meaning of global and local gauge symmetries Reproduces a series of lectures given at the Scuola Normale Superiore (Pisa) in 2017/2018
Franco Strocchi
Higgs mechanism U(1) problem theta vacua QCD Goldstone bosons Gauss laws