Generalized Gross-Neveu Models and Chiral Symmetry Breaking from String Theory

TL;DR

This paper explores how intersecting D-brane models with chiral fermions can be described by generalized Gross-Neveu models at weak coupling and by probe D-brane dynamics at strong coupling, analyzing chiral symmetry breaking patterns.

Contribution

It establishes a connection between weakly coupled Gross-Neveu models and strongly coupled D-brane dynamics in string theory for chiral symmetry breaking.

Findings

Chiral symmetry breaking occurs in both weak and strong coupling regimes.

Relationships between Gross-Neveu models and probe D-brane descriptions are elucidated.

Patterns of dynamical chiral symmetry breaking are characterized.

Abstract

We consider intersecting D-brane models which have two dimensional chiral fermions localized at the intersections. At weak coupling, the interactions of these fermions are described by generalized Gross-Neveu models. At strong coupling, these configurations are described by the dynamics of probe D-branes in a curved background spacetime. We study patterns of dynamical chiral symmetry breaking in these models at weak and strong coupling, and also discuss relationships between these two descriptions.