Gravitational susceptibility of QGP

Abstract

We use $\mathcal{N}=2^{\ast }$ and cascading gauge theory holographic models to extract the general features of the gravitational susceptibility $\kappa$ of strongly coupled nonconformal quark-gluon plasma. We show that in theories with a relevant coupling constant the gravitational susceptibility is renormalization scheme dependent. We propose to use its temperature derivative, i.e., $\frac{d\kappa }{d\ln T}$, as a scheme-independent characteristic of a QGP. Although $\kappa$ is a thermodynamic quantity, its critical behavior can be drastically distinct in the vicinity of seemingly identical thermal phase transitions.

arXiv comment23 pages, 6 figures; v2: PRD version

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