Effects of the hyperscaling violation and dynamical exponents on the imaginary potential and entropic force of heavy quarkonium via holography

Abstract

The imaginary potential and entropic force are two important different mechanisms to characterize the dissociation of heavy quarkonia. In this paper, we calculate these two quantities in strongly coupled theories with anisotropic Lifshitz scaling and hyperscaling violation exponent using holographic methods. We study how the results are affected by the hyperscaling violation parameter θ and the dynamical exponent z at finite temperature and chemical potential. Also, we investigate the effect of the chemical potential on these quantities. As a result, we find that both mechanisms show the same results: the thermal width and the dissociation length decrease as the dynamical exponent and chemical potential increase or as the hyperscaling violating parameter decreases.

16 pages, 5 figures

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Cited by in corpus (5)

• Thermodynamic Topology and Photon Spheres in the Hyperscaling violating black holes
• Weak Gravity Conjecture from Conformal Field Theory: A Challenge from Hyperscaling Violating and Kerr-Newman-AdS Black Holes
• Thermodynamics of heavy quarkonium in the spinning black hole background
• The imaginary potential and entropic force of heavy quarkonia in strongly coupled N = 4 supersymmetric Yang-Mills plasma on the Coulomb branch
• Holographic real and imaginary potentials of heavy quarkonium in Yang-Mills-dilaton black holes