Anisotropic heavy quark potential in strongly-coupled $\mathcal{N}=4$ SYM in a magnetic field

Abstract

In this work we use the gauge/gravity duality to study the anisotropy in the heavy quark potential in strongly coupled $\mathcal{N}=4$ Super-Yang Mills (SYM) theory (both at zero and nonzero temperature) induced by a constant and uniform magnetic field $\mathcal{B}$. At zero temperature, the inclusion of the magnetic field decreases the attractive force between heavy quarks with respect to its $\mathcal{B}=0$ value and the force associated with the parallel potential is the least attractive force. We find that the same occurs at nonzero temperature and, thus, at least in the case of strongly coupled $\mathcal{N}=4$ SYM, the presence of a magnetic field generally weakens the interaction between heavy quarks in the plasma.

26 pages, 5 figures; to appear in PRD

References in corpus (12)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• The QCD equation of state with dynamical quarks
• Exploring improved holographic theories for QCD: Part II
• Mimicking the QCD equation of state with a dual black hole
• The QCD equation of state in background magnetic fields
• Color Screening Melts Quarkonium
• Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD
• Anisotropic shear viscosity of a strongly coupled non-Abelian plasma from magnetic branes
• Debye screening in strongly coupled N=4 supersymmetric Yang-Mills plasma
• Quarkonium dissociation by anisotropy
• The Heavy Quark Potential as a Function of Shear Viscosity at Strong Coupling
• Gravity Dual Corrections to the Heavy Quark Potential at Finite-Temperature

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• Hot QCD Phase Diagram From Holographic Einstein-Maxwell-Dilaton Models
• Heavy meson spectroscopy under strong magnetic field
• Heavy quark potential and LQCD based quark condensate at finite magnetic field
• Magnetising the $\mathcal{N}=4$ Super Yang-Mills plasma
• Heavy quarkonia in QGP medium in an arbitrary magnetic field
• Heavy quark potential and jet quenching parameter in a rotating D-instanton background
• Interplay of magnetic field and chemical potential induced anisotropy and frame dependent chaos of a $Q\bar{Q}$ pair in holographic QCD
• Relativistic dynamics of charmonia in strong magnetic fields
• Structure of heavy quarkonia in a strong magnetic field
• Electromagnetic Debye mass within Gribov-Zwanziger action
• Holographic real and imaginary potentials of heavy quarkonium in Yang-Mills-dilaton black holes
• Probing Quarkonium Diffusion in a Magnetized Quark-Gluon Plasma