  In this paper, we investigate imaginary part of the potential for a moving
quarkonia in plasma. In order to verify the validity of imaginary part of the
potential we employ hyperscaling violation metric background. In QCD system the
imaginary part of potential shows the decay behaviour and the corresponding
potential should be negative. The corresponding potential always appears in QCD
as an exponential function. We find general constraints for Im$V_{Q\bar{Q}}$ at
the near horizon limit and apply them for some known cases. Finally, we find
the suitable spatial dimension d, z and $\theta$ also rapidity $\eta$ for two
interesting cases. Our calculation with AdS/CFT guarantees the dynamical
parameter as a $\theta$ in hyperscaling violation metric background. We also
present the hyperscaling violationg metric in this context very close to YM
theory with finite temperature.
