# Influence of finite volume effect on the Polyakov Quark-Meson model

## TL;DR

This paper investigates how finite volume effects influence the phase transition and conserved charge correlations in the Polyakov Quark-Meson model, with implications for interpreting heavy ion collision data.

## Contribution

It provides a detailed analysis of finite volume impacts on the PQM model's order parameters and phase boundary shifts, a novel aspect in this context.

## Key findings

- Finite volume causes the quark-hadron phase boundary to shift to higher chemical potential and temperature.
- Finite volume effects are significant for interpreting conserved charge fluctuations in heavy ion collisions.
- The study highlights the importance of volume considerations in QCD phase diagram analysis.

## Abstract

In the current work, we study the influence of a finite volume on $2+1$ $SU(3)$ Polyakov Quark-Meson model (PQM) order parameters, (fluctuations) correlations of conserved charges and the quark-hadron phase boundary. Our study of the PQM model order parameters and the (fluctuations) correlations of conserved charges indicates a sizable shift of the quark-hadron phase boundary to higher values of baryon chemical potential ($\mu_{B}$) and temperature ($T$) for decreasing the system volume. The detailed study of such effect could have important implications for the extraction of the (fluctuations) correlations of conserved charges of the QCD phase diagram from heavy ion data.