Entropic destruction of heavy quarkonium with hyperscaling violation

Abstract

We study the entropic destruction of heavy quarkonium in strongly coupled theories with an anisotropic scaling symmetry in time and spatial direction. We consider Lifshitz and hyperscaling violation theories which are covariant under a generalized Lifshitz scaling symmetry with the dynamical exponent $z$ and hyperscaling violation exponent $\hat{I}¸$. It is shown that the entropic force depends on the parameters of these theories. In particular, increasing $z$ decreases the entropic force thus reducing the quarkonium dissociation, while increasing $\hat{I}¸$ has opposite effect.

7 pages, 3 figures, to be published in Chinese Physics C