Spectral sum rules for the quark-gluon plasma

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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21 pages, 3 figures

Scientific paper

10.1103/PhysRevD.80.065021

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 SYM theory) or asymptotically free (as for the pure Yang-Mills theory) behavior at large momenta. These sum rules may help constrain QGP transport coefficients obtained from lattice QCD.

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