The holographic quantum effective potential at finite temperature and density

TL;DR

This paper introduces a formalism for calculating the quantum effective potential in holographic theories at finite temperature and density, aiding the study of phase transitions and symmetry breaking.

Contribution

It provides general formulae for the effective potential and applies them to determine phase transition points in holographic models.

Findings

Derived formulae for the effective potential in holographic theories.

Determined phase transition temperature and density in the scaling region.

Facilitates analysis of symmetry breaking and ground states.

Abstract

We develop a formalism that allows the computation of the quantum effective potential of a scalar order parameter in a class of holographic theories at finite temperature and charge density. The effective potential is a valuable tool for studying the ground state of the theory, symmetry breaking patterns and phase transitions. We derive general formulae for the effective potential and apply them to determine the phase transition temperature and density in the scaling region.