# Finite size analysis of the pseudo specific heat in SU(2) gauge theory

## TL;DR

This paper studies the finite size effects on the pseudo specific heat in SU(2) gauge theory near the crossover, revealing how finite lattice size influences the observed phase transition signals.

## Contribution

It provides a detailed analysis of the finite size dependence of the pseudo specific heat and compares lattice Polyakov loop behavior with a random walk model.

## Key findings

- Finite size effects significantly influence the peak of the pseudo specific heat.
- The interplay between crossover and deconfinement transition explains the finite size dependence.
- Polyakov loop behavior aligns with predictions from a random walk model.

## Abstract

We investigate the pseudo specific heat of SU(2) gauge theory near the crossover point on $4^4$ to $16^4$ lattices. Several different methods are used to determine the specific heat. The curious finite size dependence of the peak maximum is explained from the interplay of the crossover phenomenon with the deconfinement transition occurring due to the finite extension of the lattice. In this context we calculate the modulus of the lattice average of the Polyakov loop on symmetric lattices and compare it to the prediction from a random walk model.