Holographic real and imaginary potentials of heavy quarkonium in Yang-Mills-dilaton black holes

Abstract

Within the methods of the real and the imaginary potential for investigating the melting of a heavy quarkonium in the AdS/CFT correspondence, we study the effects of the dynamical exponent, the hyperscaling violation parameter, and the Yang-Mills charge on both methods in the hyperscaling violated Yang-Mills-dilaton metric background. In the real part of the potential, we find out that the dynamical exponent, the hyperscaling violation parameter, and the Yang-Mills charge increase the real potential and decrease the dissociation length, and hence the quarkonium dissociates easily. In the imaginary part of the potential, we show that the dynamical exponent, the hyperscaling violation parameter, and the Yang-Mills charge tend to decrease the thermal width, thus strengthening the suppression of the heavy quarkonium, and making the melting process easier. Also, we show that the obtained results from the real and imaginary potential methods are compatible and complementary.

17 pages, 6 figures

References in corpus (15)

• Effective Holographic Theories for low-temperature condensed matter systems
• Form Factors and Wave Functions of Vector Mesons in Holographic QCD
• Thermal behavior of charged dilatonic black branes in AdS and UV completions of Lifshitz-like geometries
• Anisotropic heavy quark potential in strongly-coupled $\mathcal{N}=4$ SYM in a magnetic field
• Heavy Quark Potential at Finite Temperature Using the Holographic Correspondence
• The Benefits of Stress: Resolution of the Lifshitz Singularity
• The Imaginary Potential of Heavy Quarkonia Moving in Strongly Coupled Plasma
• Hyperscaling Violating Solution in Coupled Dilaton-Squared Curvature Gravity
• Gauge/Gravity Duality and Hadron Physics at the Light-Front
• Hyperscaling Violating Solutions in Generalised EMD Theory
• Heavy quark potential and QCD beta function from a deformed $Ad{S}_5$ model
• Effects of the hyperscaling violation and dynamical exponents on the imaginary potential and entropic force of heavy quarkonium via holography
• Lifshitz and hyperscaling violated Yang-Mills-dilaton black holes
• Effects of hyperscaling violation and dynamical exponents on heavy quark potential and jet quenching parameter
• The imaginary potential and entropic force of heavy quarkonia in strongly coupled N = 4 supersymmetric Yang-Mills plasma on the Coulomb branch