Dynamical generation of field mixing via flavor vacuum condensate

TL;DR

This paper investigates how dynamical chiral symmetry breaking leads to flavor vacuum condensates that cause field mixing, analyzing vacuum structures algebraically and confirming the emergence of Nambu-Goldstone modes.

Contribution

It provides an algebraic analysis of vacuum structures and demonstrates the link between flavor condensates and field mixing in models with chiral symmetry.

Findings

Flavor vacuum condensates characterize field mixing.

Correct number of Nambu-Goldstone modes are identified.

Vacuum structures depend on symmetry breaking schemes.

Abstract

In this paper we study dynamical chiral symmetry breaking of a generic quantum field theoretical model with global chiral flavor symmetry. By purely algebraic means we analyze the vacuum structure for different symmetry breaking schemes and show explicitly how the ensuing non-trivial flavor vacuum condensate characterizes the phenomenon of field mixing. In addition, with the help of Ward-Takahashi identities we demonstrate the emergence of a correct number of Nambu-Goldstone modes in the physical spectrum.