Method for comparing finite temperature field theory results with lattice data

dc.creatorCvetic, G.
dc.creatorKoegerler, R.
dc.date2006-12-11
dc.date2007-03-16
dc.date.accessioned2026-07-07T10:37:35Z
dc.date.available2026-07-07T10:37:35Z
dc.descriptionThe values of the presently available truncated perturbative expressions for the pressure of the quark-gluon plasma at finite temperatures and finite chemical potential are trustworthy only at very large energies. When used down to temperatures close to the critical one Tc, they suffer from large uncertainties due to the renormalization scale freedom. In order to reduce these uncertainties, we perform resummations of the pressure by applying Pade-related approximants to the available perturbation series for the short-distance and for the long-distance contributions. In the two contributions, we use two different renormalization scales which reflect different energy regions contributing to the different parts. Application of the obtained expressions at low temperatures is made possible by replacing the usual four-loop barMS beta function for alpha_s by its Borel-Pade resummation, eliminating thus the unphysical Landau singularities of alpha_s. The obtained results are remarkably insensitive to the chosen renormalization scale and can be compared with lattice results -- for the pressure (p), the chemical potential contribution (delta p) to the pressure, and various susceptibilities. A good qualitative agreement with the lattice results is revealed down to temperatures close to Tc.
dc.description24 pages, 17 figures, revtex4; Ref.[25] is new; the ordering of the references and grammatic and stylistic errors are corrected - version as it appears in PRD
dc.identifierhttps://arxiv.org/abs/hep-ph/0612130
dc.identifierhttp://arxiv.org/abs/hep-ph/0612130
dc.identifierPhys.Rev.D75:054016,2007
dc.identifierdoi:10.1103/PhysRevD.75.054016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180429
dc.subjectHigh Energy Physics - Phenomenology
dc.titleMethod for comparing finite temperature field theory results with lattice data
dc.typetext

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