Fermions in energon field

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.