Gauge Symmetry Breakdown due to Dyanamical versus Elementary Higgs

TL;DR

This paper investigates how gauge bosons gain mass through dynamical chiral symmetry breaking in massless gauge theories, contrasting it with elementary Higgs mechanisms, and proposes a method for calculating these masses.

Contribution

It introduces a method to compute gauge boson masses resulting from dynamical symmetry breaking, highlighting differences from elementary Higgs scenarios.

Findings

Gauge boson masses differ between dynamical and elementary Higgs mechanisms.

A calculational method for gauge boson masses in dynamical symmetry breaking is proposed.

An example with SU(5) breaking to SU(4) illustrates the approach.

Abstract

We study in details on how gauge bosons can acquire mass when the chiral symmetry dynamically breaks down for massless gauge theory without scalars. Introducing dynamical scalar fields into the original gauge theory, we show that when the chiral symmetry breaks down, the theory gives gauge boson masses different from what would be obatained if an elemetary Higgs is included. We clarify the reason and propose one method how to calculate gauge boson masses in the case of dynamical gauge symmtry breakdown. We explain the method by using an example in which SU(5) massless gauge theory breaks down to SU(4) with massless fermions in appropriate representations.