Hard thermal loops and the entropy of supersymmetric Yang-Mills theories
Nov, 2006
5 pages
Published in:
- JHEP 06 (2007) 035
e-Print:
- hep-ph/0611393 [hep-ph]
Report number:
- ECT-06-22,
- SPHT-T06-163,
- TUW-06-07
View in:
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Abstract:
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.- 11.15.Pg
- 11.30.Pb
- 11.10.Wx
- 12.38.Mh
- field theory: conformal
- entropy: density
- gauge field theory: Yang-Mills
- quantum chromodynamics
- space-time: anti-de Sitter
- quasiparticle
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