Examining a possible cascade effect in chiral symmetry breaking

TL;DR

This paper investigates a toy model and a cascade effect in chiral symmetry breaking, analyzing phase transitions related to confinement and condensate formation in QCD-like theories and a preon model, with implications for flavor number thresholds.

Contribution

It introduces a cascade effect framework for chiral symmetry breaking and confinement, analyzing phase transitions and condensates in QCD and preon models, highlighting the role of flavor number.

Findings

Calculated the four-quark vacuum condensate in QCD

Identified flavor thresholds for phase transitions

Discussed implications for preon models

Abstract

We examine a toy model and a cascade effect for confinement and chiral symmetry breaking which consists in several phase transitions corresponding to the formation of bound states and chiral condensates with different number of fermions for a strong group. We analyze two examples: regular QCD where we calculate the "four quark" vacuum condensate and a preon composite model based on QCD at higher scales. In this context we also determine the number of flavors at which the second chiral and confinement phase transitions occur and discuss the consequences.