On the Thermodynamic Geometry of Hot QCD

Abstract

We study the nature of the covariant thermodynamic geometry arising from the free energy of hot QCD. We systematically analyze the underlying equilibrium thermodynamic configurations of the free energy of 2- and 3-flavor hot QCD with or without including thermal fluctuations in the neighborhood of the QCD transition temperature. We show that there exists a well-defined thermodynamic geometric notion for QCD thermodynamics. The geometry thus obtained has no singularity as an intrinsic Riemannian manifold. We further show that there is a close connection of this geometric approach with the existing studies of correlations and quark number susceptibilities in hot QCD.

15 pages, 12 figures, Keywords: Thermodynamic Geometry, Hot QCD, Quasi-particles, PACS: 12.38.-t; 05.70.Fh; 02.40.Ky; 12.40.Ee

References in corpus (3)

• Hot QCD equations of state and relativistic heavy ion collisions
• On the Microscopic Perspective of Black Branes Thermodynamic Geometry
• Viscosity and thermodynamic properties of QGP in relativistic heavy ion collisions

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• State-space geometry, non-extremal black holes and Kaluza-Klein monopoles
• On Real Intrinsic Wall Crossings