Finite-Size Scaling behavior in the O(4)-Model

TL;DR

This paper uses a renormalization group approach to derive finite-size scaling functions for the O(4)-model, aiding the analysis of lattice QCD results related to the QCD phase transition.

Contribution

It provides a set of finite-size scaling functions for the O(4)-model, crucial for interpreting lattice QCD simulations of the QCD phase boundary.

Findings

Finite-size scaling functions derived for the O(4)-model.

Results applicable to lattice QCD studies.

Clarifies scaling behavior in QCD phase transition analysis.

Abstract

The exact nature of the QCD phase transition has still not been determined conclusively, and there are contradictory results from lattice QCD simulations about the scaling behavior for two quark flavors. Ultimately, this issue can be resolved only by a careful scaling and finite-size scaling analysis of the lattice results. We use a renormalization group approach to obtain finite-size scaling functions for the O(4)-model, which are relevant for this analysis. Our results are applicable to Lattice QCD studies of the QCD phase boundary.