Phys. Rev. D 80, 065021 (2009) [11 pages]Spectral sum rules for the quark-gluon plasmaReceived 15 April 2009; published 21 September 2009 We derive sum rules involving the spectral density of the stress-energy tensor in N=4 super-Yang-Mills theory and pure Yang-Mills theory. The sum rules come from the hydrodynamic behavior at small momenta and the conformal (in the case of N=4 super-Yang-Mills theory) or asymptotically free (as for the pure Yang-Mills theory) behavior at large momenta. These sum rules may help constrain quark-gluon plasma transport coefficients obtained from lattice QCD. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.80.065021
DOI:
10.1103/PhysRevD.80.065021
PACS:
12.38.Mh, 11.25.Hf, 11.10.Wx
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