A geometric approach to correlations and quark number susceptibilities

Details A geometric approach to correlations and quark number susceptibilities A geometric approach to correlations and quark number susceptibilities

2010-10-21

arxiv.org/abs/1010.4405v1

Modern Physics Letters A 2 Vol. 27, No. 10 (2012) 1250055

Physics

High Energy Physics

High Energy Physics - Theory

3 pages, 2 figures. Keywords: Hot QCD, Thermodynamic Geometry, Quark-number susceptibility. PACS: 12.38.-t; 05.70.Fh; 02.40.Ky

Scientific paper

10.1142/S0217732312500551

We study the thermodynamic geometry arising from the free energy for the 2- and 3-flavor finite temperature hot QCD near the critical temperature. We develop a geometric notion for QCD thermodynamics, relating it with the existing microscopic quantities, e.g. quark-number susceptibility, which appears naturally within an approximately self-consistent resummation of perturbative QCD. We further incorporate thermal fluctuations in the free energy, thus yielding the geometric properties of local and global chemical correlations. These investigations are perturbative in nature. Nevertheless, one could apply the same line of thought for the geometric realization of underlying quark susceptibilities, either in the fabric of lattice QCD or in that of non-perturbative QCD.

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