Solitons in a Bilocal Field Theory

TL;DR

This paper derives a bilocal classical field theory from the large N limit of the chiral Gross--Neveu model and finds exact soliton solutions whose mass spectrum matches the model's large N spectrum.

Contribution

It introduces a bilocal classical field theory framework and explicitly constructs topological soliton solutions with matching mass spectra.

Findings

Exact classical soliton solutions obtained.

Mass spectrum aligns with large N limit of the chiral Gross--Neveu model.

Provides a new classical field theory perspective on the model.

Abstract

We obtain a bilocal classical field theory as the large $N$ limit of the chiral Gross--Neveu (or non--abelian Thirring) model. Exact classical solutions that describe topological solitons are obtained. It is shown that their mass spectrum agrees with the large $N$ limit of the spectrum of the chiral Gross--Neveu model.