Adjoint QCD2 and the Non-Abelian Schwinger Mechanism

TL;DR

This paper explores how massless Majorana fermions in adjoint representation of SU(N_c) induce screening in 1+1D gauge theories, revealing a non-abelian Schwinger mechanism via a non-physical adjoint boson.

Contribution

It demonstrates the existence of a non-abelian Schwinger mechanism in adjoint QCD2 using light-cone formalism and large-N_c limit, identifying a non-abelian analogue of the Schwinger boson.

Findings

Identification of a non-abelian Schwinger boson responsible for screening.

Boundstates are formed entirely from this non-physical boson.

The mechanism parallels the Higgs phenomenon in 1+1D gauge theories.

Abstract

Massless Majorana fermions in the adjoint representation of SU(N_c) are expected to screen gauge interactions in 1+1 dimensions, analogous to a similar Higgs phenomena known for 1+1-dimensional U(1) gauge theory with massless fundamental fermions (Schwinger model). Using the light-cone formalism and large-N_c limit, a non-abelian analogue of the Schwinger boson is shown to be responsible for the screening between heavy test charges. This adjoint boson does not exist simply as a physical state, but boundstates are built entirely from this particle.