Hard thermal loops and the entropy of supersymmetric Yang-Mills theories

Details Hard thermal loops and the entropy of supersymmetric Yang-Mills theories Hard thermal loops and the entropy of supersymmetric Yang-Mills theories

2006-11-30

arxiv.org/abs/hep-ph/0611393v2

JHEP 0706:035,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 2 figures, JHEP3. v2: revised and expanded, with unchanged HTL results but corrected NLO strong-coupling result from

Scientific paper

10.1088/1126-6708/2007/06/035

We apply the previously proposed scheme of approximately self-consistent hard-thermal-loop resummations in the entropy of high-temperature QCD to N=4 supersymmetric Yang-Mills (SYM) theories and compare with a (uniquely determined) R[4,4] Pad\'e approximant that interpolates accurately between the known perturbative result and the next-to-leading order strong-coupling result obtained from AdS/CFT correspondence. We find good agreement up to couplings where the entropy has dropped to about 85% of the Stefan-Boltzmann value. This is precisely the regime which in purely gluonic QCD corresponds to temperatures above 2.5 times the deconfinement temperature and for which this method of hard-thermal-loop resummation has given similar good agreement with lattice QCD results. This suggests that in this regime the entropy of both QCD and N=4 SYM is dominated by effectively weakly coupled hard-thermal-loop quasiparticle degrees of freedom. In N=4 SYM, strong-coupling contributions to the thermodynamic potential take over when the entropy drops below 85% of the Stefan-Boltzmann value.

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