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Shear sum rules at finite chemical potential

David, Justin R and Jain, Sachin and Thakur, Somyadip (2012) Shear sum rules at finite chemical potential. In: JOURNAL OF HIGH ENERGY PHYSICS (3).

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Official URL: http://dx.doi.org/10.1007/JHEP03(2012)074


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.

Item Type: Journal Article
Publisher: Apringer
Additional Information: Copyright for this article belongs to Springer
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 03 Aug 2012 09:35
Last Modified: 05 Mar 2019 07:04
URI: http://eprints.iisc.ac.in/id/eprint/44524

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