Thermodynamics of soft wall model of AdS/QCD in Einstein–Maxwell–Gauss–Bonnet gravity

Abstract

We investigate the thermodynamics of the confinement–deconfinement transition in the soft wall model of QCD with Gauss–Bonnet corrections using anti-de Sitter – conformal field theory (AdS/CFT) correspondence. In bulk AdS space–time the transition is geometric and is known as Hawking–Page transition. The Hawking–Page transition between two geometries, namely, charged AdS black hole and thermally charged AdS, have been studied with Gauss–Bonnet corrections up to first order. The Gauss–Bonnet coupling modifies the transition temperature of the system, but qualitative features remain unchanged. We obtain the curves between chemical potential and transition temperature for different values of Gauss–Bonnet couplings. We find that there exists a point in the μ–T plane where lines with different values of Gauss–Bonnet coupling cross. This point may be the onset of the transition from first-order to cross over behavior. The results are compared with that of the hard wall model.