Abstract
For a moving heavy quark antiquark (QQ) in a quark gluon plasma (QGP), we use gauge/gravity duality to study both real and imaginary parts of the potential (\( \operatorname{Re}{V}_{Q\overline{Q}} \) and \( \operatorname{Im}{V}_{Q\overline{Q}} \) respectively) in a gluon condensate (GC) theory. The complex potential is derived from the Wilson loop by considering the thermal fluctuations of the worldsheet of the Nambu-Goto holographic string. We calculate \( \operatorname{Re}{V}_{Q\overline{Q}} \) and \( \operatorname{Im}{V}_{Q\overline{Q}} \) in both cases where the axis of the moving \( Q\overline{Q} \) pair is transverse and parallel with respect to its direction of movement in the plasma. Using the renormalization scheme for the \( \operatorname{Re}{V}_{Q\overline{Q}} \), we find that the inclusion of GC increases the dissociation length while rapidity has the opposite effect. While for the \( \operatorname{Im}{V}_{Q\overline{Q}} \), we observe that by considering the effect of GC, the \( \operatorname{Im}{V}_{Q\overline{Q}} \) is generated for larger distance thus decreasing quarkonium dissociation, while rapidity has opposite effect. In particular, as the value of GC decreases in the deconfined phase, the \( \operatorname{Im}{V}_{Q\overline{Q}} \) is generated for smaller distance thus enhancing quarkonium dissociation, and at high temperatures it is nearly not modified by GC, consistent with previous findings of the entropic force.
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Tahery, S., Chen, X. & Zhang, Zq. Holographic imaginary potential of a quark antiquark pair in the presence of gluon condensation. J. High Energ. Phys. 2023, 207 (2023). https://doi.org/10.1007/JHEP03(2023)207
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DOI: https://doi.org/10.1007/JHEP03(2023)207