Shear sum rules at finite chemical potential

Details Shear sum rules at finite chemical potential Shear sum rules at finite chemical potential

2011-09-19

arxiv.org/abs/1109.4072v3

JHEP 1203 (2012) 074

Physics

High Energy Physics

High Energy Physics - Theory

The proof for the absence of branch cuts is corrected.Results unchanged

Scientific paper

We derive sum rules which constrain the spectral density corresponding to the retarded propagator of the T_{xy} component of the stress tensor for three gravitational duals. The shear sum rule is obtained for the gravitational dual of the N=4 Yang-Mills, theory of the M2-branes and M5-branes all at finite chemical potential. We show that at finite chemical potential there are additional terms in the sum rule which involve the chemical potential. These modifications are shown to be due to the presence of scalars in the operator product expansion of the stress tensor which have non-trivial vacuum expectation values at finite chemical potential.

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