Tricritical phenomena in holographic chiral phase transitions

TL;DR

This paper investigates tricritical phenomena in a holographic chiral phase transition within the D3/D7 model, confirming mean-field critical exponents and scaling relations, and demonstrating consistency with Landau theory.

Contribution

It provides the first numerical determination of critical exponents at a tricritical point in a holographic model, showing agreement with mean-field theory and validating the scaling hypothesis.

Findings

Critical exponents match mean-field values.

Scaling relations between exponents are satisfied.

Results align with Landau theory predictions.

Abstract

We study critical phenomena at a tricritical point associated with a chiral phase transition which emerges in the D3/D7 model in the presence of a finite baryon number density and an external magnetic field. We numerically determine critical exponents related to the thermodynamic quantities and correlation functions. We find that the values of the critical exponents agree with the mean-field values. The scaling relations between the critical exponents are satisfied, implying that the scaling hypothesis for the free energy and the correlation functions hold. Our results indicate that the critical phenomena at the tricritical point in the D3/D7 model are well described by the conventional Landau theory.