Fermionic Vector Model Solitons in the Large N Limit

TL;DR

This paper investigates fermionic vector models in the large N limit using collective field theory, revealing that the Green's function corresponds to the bilocal variable, and providing a complete classical solution framework.

Contribution

It introduces a novel approach to analyze large N fermionic models via bilocal variables and classical solutions, connecting Green's functions directly to bilocal fields.

Findings

Large N configuration determined by classical solutions

Green's function identified as the bilocal variable

Framework simplifies analysis of fermionic vector models

Abstract

The large N limit of fermionic vectors models is studied using bilocal variables, in the framework of a collective field theory approach. The large N configuration is determined completely using only classical solutions of the model. Further, the Bethe-Salpeter equations of the model are cast as a Green's function problem. One of the main results of this work is to show that this Green's function is in fact the large N bilocal itself.