Thermodynamics and Finite size scaling in Scalar Field Theory

TL;DR

This paper investigates the finite size effects on thermodynamic quantities in 4D scalar $\

Contribution

It introduces a lattice-based analysis of finite size scaling in scalar field theory to understand thermodynamic limit behavior.

Findings

Finite size scaling behavior observed in the symmetric phase.

Thermodynamic limit is approached as lattice size increases.

Results inform the understanding of phase behavior in scalar field theories.

Abstract

In this work we consider the 1-component real scalar $\phi^4$ theory in 4 space-time dimensions on the lattice and investigate the finite size scaling of thermodynamic quantities to study whether the thermodynamic limit is attained. The results are obtained for the symmetric phase of the theory.