Axial anomaly and nesting in the inhomogeneous chiral phase

TL;DR

This paper explores the role of axial anomaly and nesting in the inhomogeneous chiral phase using 1+1 dimensional Gross-Neveu models, revealing their connection to superconductivity phenomena like FFLO states through duality.

Contribution

It demonstrates how axial anomaly induces FFLO-like states and reexamines nesting effects within the duality framework in inhomogeneous chiral phases.

Findings

Axial anomaly leads to FFLO states in the model.

Nesting is a key mechanism for phase formation.

Duality relates chiral transition and superconductivity phenomena.

Abstract

Axial anomaly and nesting is elucidated in the context of the inhomogeneous chiral phase. Using the Gross-Neveu models in 1+1 dimensions, we shall discuss axial anomaly and nesting from two different points of view: one is homogeneous chiral transition and the other is the Ferrel-Fulde-Larkin-Ovchinnikov (FFLO) state in superconductivity, which are closely related to each other by way of duality. It is shown that axial anomaly leads to a particular kind of the FFLO state within the two dimensional Nambu-Jona Lasinio model, where axial anomaly is manifested in a different mode. Nesting is a driving mechanism for both phenomena, but its realization has different features. We reconsider the effect of nesting in the context of duality.