The investigation of quark - antiquark potential in plasma with hyperscaling violation background

Abstract

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.

21 pages, 2 figures

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Cited by in corpus (6)

• Thermodynamic Topology and Photon Spheres in the Hyperscaling violating black holes
• Heavy Quarkonia in a Potential Model: Binding Energy, Decay Width, and Survival Probability
• Holographic imaginary potential of a quark antiquark pair in the presence of gluon condensation
• The imaginary potential and entropic force of heavy quarkonia in strongly coupled N = 4 supersymmetric Yang-Mills plasma on the Coulomb branch
• Quark anti-quark entropic force and diffusion constant in a Yang-Mills like theory
• Entropic destruction of heavy quarkonium with hyperscaling violation