Holographic Wilsonian Renormalization and Chiral Phase Transitions

TL;DR

This paper investigates how a holographic Wilsonian cut-off influences chiral phase transitions in probe brane models, enabling the definition of off-shell configurations and revealing new phase transition behaviors.

Contribution

It introduces a holographic Wilsonian cut-off framework to analyze off-shell configurations and phase transitions in chiral symmetry breaking models.

Findings

Identifies new first and second order phase transitions with varying cut-off.

Derives effective potentials including mean field and BKT-type transitions.

Highlights the importance of matching IR and UV boundary conditions.

Abstract

We explore the role of a holographic Wilsonian cut-off in simple probe brane models with chiral symmetry breaking/restoration phase transitions. The Wilsonian cut-off allows us to define supergravity solutions for off-shell configurations and hence to define a potential for the chiral condensate. We pay particular attention to the need for configurations whose action we are comparing to have the same IR and UV boundary conditions. We exhibit new first and second order phase transitions with changing cut-off. We derive the effective potential for the condensate including mean field and BKT type continuous transitions.