Bosonization in SU(N) Gauge Field Theory in Terms of Phase Transition of Second Kind

TL;DR

This paper explores bosonization in SU(N) gauge theories as a second-kind phase transition, deriving a zero-point energy-free boson spectrum and calculating hadron masses, notably pions, with self-consistent dependencies.

Contribution

It introduces a novel approach to bosonization linked to second-kind phase transitions and derives a self-consistent boson mass spectrum in SU(N) gauge theories.

Findings

Derived a boson spectrum free from zero-point energy

Calculated boson mass dependence on gauge field and quark mass

Estimated hadron masses, including pions, in a quasi-classical model

Abstract

Bosonization of the strong interacting matter as a process of arising observable hadrons is studied in terms of the phase transition of the second kind. The spectrum of bosons which is free from the zero point energy is derived . The calculated boson mass is found to depend self-consistently on both the amplitude of a gauge field and quark mass. In the framework of the quasi-classical model a hadron mass is calculated in the case of bosonization into pions.