Holography and thermodynamics of a non-conformal quantum field theory

Abstract

In this work, we study the thermodynamics of a non-conformal QFT using holography, specifically the AdS/CFT correspondence. The dual description consists of five-dimensional AdS spacetime with Einstein gravity coupled to a scalar field that breaks conformal symmetry, in order to model non-conformal systems inspired by QCD. By numerically solving the Einstein-Klein-Gordon equations, we construct black brane solutions and extract the temperature and entropy associated with thermal states in the dual QFT. The s/T 3(T) plot exhibits the expected behaviour of a CFT at both high and low temperatures, but shows non-conformal behaviour in the intermediate region