String breaking and running coupling of $\mathrm{Q}\bar{\mathrm{Q}}$ in a rotating media from holography

Abstract

Through gravity/gauge duality, the string breaking and running coupling constant of heavy quark-antiquark pair are investigated in the rotating background. For the meson decay mode $\mathrm{Q}\bar{\mathrm{Q}}\to \mathrm{Q}\bar{\mathrm{q}}+\bar{\mathrm{Q}}\mathrm{q}$, we discuss the string breaking and running coupling in the parallel and transverse case. It is found that the parallel case has a more significant on string breaking and running coupling constant than the transverse case in the confined phase. The string-breaking distance and the maximum value of running coupling will decrease with the increase of angular velocity in the parallel case. Besides, we also investigate the running coupling and screening distance at finite angular velocity in the deconfined phase. It is found that the maximum values of the running coupling and screening distance are decreasing functions of angular velocity. The parallel case has a more significant influence on the running coupling and screening distance than the transverse case in the deconfined phase.

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