Imaginary potential of moving quarkonia in a D-instanton background

TL;DR

This paper studies how D-instanton density affects the imaginary potential of moving heavy quarkonia in a deformed AdS background, revealing that D-instantons increase inter-quark distance and decrease the imaginary potential, with stronger effects when quarkonia move parallel to the plasma wind.

Contribution

It introduces the impact of D-instanton density on the imaginary potential of moving quarkonia within a deformed AdS background, highlighting effects on inter-quark distance and potential.

Findings

D-instanton density increases the inter-quark distance.

D-instanton density decreases the imaginary potential.

Effects are more pronounced when quarkonia move parallel to the plasma wind.

Abstract

The imaginary part of the inter-quarks potential of moving heavy quarkonia is investigated in a dual supergravity of the AdS background deformed by dilaton, which induces the gauge field condensate in the dual gauge theory. We analyze the quark anti-quark pair moving transverse and parallel to the plasma wind, respectively. It is shown that for both cases the presence of D-instanton density tends to increase the inter-distance and decrease the imaginary potential, reverse to the effect of the pair's velocity. Moreover, it is found that the D-instanton density has stronger effects for the parallel case rather than transverse.