How confinement may affect technicolor?

TL;DR

This paper explores how incorporating confinement into the technicolor framework via a modified gap equation can produce a hard self-energy dynamics, potentially resolving longstanding phenomenological issues in technicolor theories.

Contribution

It extends Cornwall's confinement mechanism from QCD to technicolor, proposing a new approach that naturally explains fermion mass hierarchies without common problems.

Findings

Confinement leads to a hard self-energy in technicolor.

The approach avoids typical technicolor phenomenological issues.

A general technicolor model is outlined for fermion mass generation.

Abstract

Confinement has been introduced into the quark gap equation, as proposed by Cornwall, as a possible solution to the problem of chiral symmetry breaking in QCD with dynamically massive gluons. We argue that the same mechanism can be applied for technicolor with dynamically massive technigluons. Within this approach both theories develop a hard self-energy dynamics, resulting from an effective four-fermion interaction, which does not lead to the known technicolor phenomenological problems. We outline a quite general type of technicolor model within this proposal that may naturally explain the masses of different fermion generations.