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Improvement of the Hot QCD Pressure by the Minimal Sensitivity Criterion
Author(s) -
M. Inui,
A. Niégawa,
H. Ozaki
Publication year - 2006
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.115.411
Subject(s) - physics , quantum chromodynamics , lattice (music) , sensitivity (control systems) , lattice qcd , quark , bar (unit) , energy density , particle physics , theoretical physics , electronic engineering , meteorology , acoustics , engineering
The principles of minimal sensitivity (PMS) criterion is applied to theperturbative free energy density, or pressure, of hot QCD, which include the$\sim g_s^6 \ln g_s$ and part of the $\sim g_s^6$ terms. Applications are madeseparately to the short- and long-distance parts of the pressure. Comparisonwith the lattice results, at low temperatures, shows that the resultant ``optimal'' approximants are substantially improved when compared to the$\bar{MS}$ results. In particular, for the realistic case of three quarkflavors, the `` optimal'' approximants are comparable with the lattice results.Comment: 14 pages, 9 figures, LaTe

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