Quark anti-quark entropic force and diffusion constant in a Yang-Mills like theory

TL;DR

This paper calculates the entropic force on moving quarkonia in a hyperscaling violation background using holography, and also determines the diffusion constant, providing insights into meson dissociation in a plasma.

Contribution

It introduces a holographic method to compute the entropic force and diffusion constant for quarkonia in a hyperscaling violation background, extending previous models.

Findings

Entropic force decreases with increasing dissociation length.

Results align with previous work on quarkonia in similar backgrounds.

Diffusion constant is obtained exactly, confirming theoretical predictions.

Abstract

The entropic force experienced by a moving quarkonia in a plasma, is computed in a hyperscaling violation background by holography approach. In that case, the axis of the moving quarkonia has an arbitrary angle with wind. We use the results for HSV parameters which obtained in our paper [1] as appropriate values satisfying condition $ImV_{Q\bar{Q}}< 0$. We will show that, in this background the entropic force of the meson shows a decreasing behaviour corresponds to increasing dissociation length. Results of this paper are in agreement with our mentioned work. In addition we will find diffusion constant in an exact case and by an exact approach [2] which satisfies the mentioned condition in there.