Pade-related resummations of the pressure of quark-gluon plasma by approximate inclusion of g{sub s}{sup 6} terms
- Department of Physics, Universidad Tecnica Federico Santa Maria, Valparaiso (Chile)
We perform various resummations of the hot QCD pressure based on the actual knowledge of the perturbation series which includes the {approx}g{sub s}{sup 6}ln(1/g{sub s}) and part of the {approx}g{sub s}{sup 6} terms. Resummations are performed separately for the short- and long-distance parts. The {approx}g{sub s}{sup 6} term of the short-distance pressure is estimated on the basis of the known UV cutoff dependence of the long-distance part. The resummations are of the Pade and Borel-Pade type, using in addition the (Pade)resummed expression for the squared Debye screening mass m{sub E}{sup 2} and, in some cases, even for the electrostatic QCD coupling parameter g{sub E}{sup 2}. The resummed results depend weakly on the yet unknown {approx}g{sub s}{sup 6} terms and on the short-range renormalization scale, at all temperatures. The dependence on the long-range renormalization scale is appreciable at low temperatures T < or approx. 1 GeV. The resulting dependence of pressure on temperature T is compatible with the results of the lattice calculations at low T.
- OSTI ID:
- 20698127
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 70, Issue 11; Other Information: DOI: 10.1103/PhysRevD.70.114016; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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