In this paper, we investigate the imaginary part of the potential for a moving quarkonia in plasma. In order to verify the validity of the imaginary part of the potential we employ a hyperscaling violation (HSV) metric background. In a quantum chromodynamics (QCD) system the imaginary part of the potential shows 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 ImVQQ¯ at the near horizon limit and apply them for some known cases. Finally, we find the suitable spatial dimensions d, z and θ, and also rapidity η for two interesting cases. Our calculation with the anti-de Sitter/conformal field theory guarantees the dynamical parameter as θ in an HSV metric background. We also present the HSV metric in this context very close to the Yang–Mills theory with finite temperature. Keywords: imaginary potential, hyper scaling violation metric, Wilson loop
