Exact Sum Rules at Finite Temperature and Chemical Potential and Their Application to QCD

Details Exact Sum Rules at Finite Temperature and Chemical Potential and Their Application to QCD Exact Sum Rules at Finite Temperature and Chemical Potential and Their Application to QCD

1994-04-16

arxiv.org/abs/hep-ph/9404275v2

Phys.Lett.B348:571-576,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, no figures, uses RevTeX 3.0. No major changes. Typos fixed and text sharpened. To appear in Phys. Lett. B. Postscript

Scientific paper

10.1016/0370-2693(95)00157-G

Within the framework of the operator product expansion (OPE) and the renormalization group equation (RGE), we show that the temperature and chemical potential dependence of the zeroth moment of a spectral function (SF) is completely determined by the one-loop structure of an asymptotically free theory. This exact result constrains the shape of SF's, and implies a highly non-trivial functional form for the SF near second order, or weak first order, phase transitions. Phenomenological parameterizations of the SF, often used in applications such as the analysis of lattice QCD data or QCD sum rule calculations at finite temperature and baryon density, must satisfy these constraints.

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