Holographic imaginary potential of a quark antiquark pair in the presence of gluon condensation

• Published in: The journal of high energy physics Vol. 2023; no. 3; pp. 207 - 18
• Main Authors: Tahery, Sara, Chen, Xurong, Zhang, Zi-qiang
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 27.03.2023; Springer Nature B.V; SpringerOpen
• Subjects: AdS-CFT Correspondence; Classical and Quantum Gravitation; Elementary Particles; Gauge-Gravity Correspondence; Gluons; Gravity; High energy physics; High temperature; Holography; Phase transitions; Physics; Physics and Astronomy; Plasma; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Quark-Gluon Plasma; Quarks; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Quark-Gluon Plasma; AdS-CFT Correspondence; Gauge-Gravity Correspondence
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP03(2023)207

A bstract 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 ( Re V Q Q ¯ and Im V Q 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 Re V Q Q ¯ and Im V Q Q ¯ in both cases where the axis of the moving Q Q ¯ pair is transverse and parallel with respect to its direction of movement in the plasma. Using the renormalization scheme for the Re V Q Q ¯ , we find that the inclusion of GC increases the dissociation length while rapidity has the opposite effect. While for the Im V Q Q ¯ , we observe that by considering the effect of GC, the Im V Q 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 Im V Q 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.