# Chiral pair fluctuations for the inhomogeneous chiral transition

## TL;DR

This paper explores the impact of thermal and quantum fluctuations on the inhomogeneous chiral transition, highlighting their continuous effects across the phase boundary and potential phenomenological implications.

## Contribution

It provides a detailed analysis of fluctuation effects and their roles in the inhomogeneous chiral transition, connecting phenomena across phase boundaries and related systems.

## Key findings

- Thermal and quantum fluctuations influence the phase boundary effects.
- Fluctuation effects are continuous across the phase boundary.
- Anomalies in thermodynamic quantities have phenomenological implications.

## Abstract

The effects of fluctuations are discussed around the phase boundary of the inhomogeneous chiral transition between the inhomogeneous chiral phase and the chiral-restored phase. The particular roles of thermal and quantum fluctuations are elucidated and a continuity of their effects across the phase boundary is suggested. In addition, it is argued that anomalies in the thermodynamic quantities should have phenomenological implications for the inhomogeneous chiral transition. Some common features for other phase transitions, such as those from the normal to the inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov state in superconductivity, are also emphasized.