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Two-loop QCD gauge coupling at high temperatures
Author(s) -
M. Laine,
York Schröder
Publication year - 2005
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2005/03/067
Subject(s) - deconfinement , quantum chromodynamics , physics , observable , gauge (firearms) , coupling (piping) , tension (geology) , gauge theory , string (physics) , loop (graph theory) , convergence (economics) , effective field theory , phase transition , order (exchange) , particle physics , quantum electrodynamics , theoretical physics , condensed matter physics , quantum mechanics , materials science , mathematics , combinatorics , finance , economics , metallurgy , economic growth , moment (physics)
We determine the 2-loop effective gauge coupling of QCD at high temperatures,defined as a matching coefficient appearing in the dimensionally reducedeffective field theory. The result allows to improve on one of the classicnon-perturbative probes for the convergence of the weak-coupling expansion athigh temperatures, the comparison of full and effective theory determinationsof an observable called the spatial string tension. We find surprisingly goodagreement almost down to the critical temperature of the deconfinement phasetransition. We also determine one new contribution of order O(g^6T^4) to thepressure of hot QCD.Comment: 17 page

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