Gauge Symmetry Breakdown due to Dynamical Higgs Scalar

TL;DR

This paper develops a method to construct an effective action for Nambu-Goldstone bosons and fermions in gauge theories with dynamical symmetry breaking, and applies it to gauge symmetry breakdown to derive massive gauge fields.

Contribution

It introduces a new technique to derive effective actions for dynamical symmetry breaking without scalar fields, including gauge symmetry breakdown scenarios.

Findings

Calculated decay constants from the effective action.

Constructed effective actions for Nambu-Goldstone bosons and fermions.

Applied method to gauge symmetry breaking, producing massive gauge fields.

Abstract

Assuming dynamical spontaneous breakdown of chiral symmetry for massless gauge theory without scalar fields, we present a method how to construct an effective action of the dynamical Nambu-Goldstone bosons and elemetary fermions by using auxiliary fields. Here dynamical particles are asssumed to be composed of elementary fermions. Various quantities including decay constants are calculated from this effective action. This technique is also applied to gauge symmetry breakdown, $SU(5)\to SU(4)$, to obtain massive gauge fields.