On the smallest screening masses in hot QCD

Details On the smallest screening masses in hot QCD On the smallest screening masses in hot QCD

2009-06-24

arxiv.org/abs/0906.4450v2

JHEP 0909:023,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages. v2: clarifications and typographic corrections; published version

Scientific paper

10.1088/1126-6708/2009/09/023

The increasing focus on unquenched lattice simulations has revived interest also in gluonic screening masses, whose inverses characterise the longest length scales at which thermal fluctuations are correlated in a hot non-Abelian plasma. We fill an apparent gap in the literature concerning the theoretical structure of one of the relevant screening masses (the one which equals twice the Debye mass at leading order), by showing that the next-to-leading order correction to it is perturbative and small. This surprising result appears to explain semi-quantitatively why this particular channel yields the smallest gluonic screening mass at temperatures around a few hundred MeV (it couples to the energy density and to the real part of the Polyakov loop), even though it is not among the smallest screening masses at asymptotically high temperatures.

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