Fermions in energon field

TL;DR

This paper investigates how fermions behave in the gauge field of the energon, a classical non-Abelian solution, revealing the fermion spectrum and zero modes, with implications for gauge theory dynamics.

Contribution

It provides an explicit evaluation of the fermion spectrum in the energon field, especially near instanton-like configurations, and discusses the role of discrete symmetries.

Findings

Zero eigenvalue in the Dirac spectrum was found.

Fermion spectrum explicitly evaluated for energon parameters.

Discrete symmetry influences fermion behavior.

Abstract

The behavior of fermions in the gauge field created by the energon, a recently found classical solution of the non-Abelian gauge theory, is considered. The spectrum of fermions is evaluated explicitly for the case when parameters governing the energon are chosen to make this solution look similar to the chain of well separated instantons and anti-instantons. The zero eigenvalue in the spectrum of the Dirac equation is found. The role of a specific discrete symmetry, which distinguishes the energon, is discussed.