  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 $\rm Q\bar{Q} \rightarrow Q
\bar{q}+\bar{Q} q$, 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.
