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.

arXiv comment26 pages, 5 figures; to appear in PRD

References in corpus (46)

• Gauge Theory Correlators from Non-Critical String Theory
• The Black Hole in Three Dimensional Space Time
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Wilson loops in large N field theories
• The Holographic Weyl anomaly
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Lecture Notes on Holographic Renormalization
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Collective flow and viscosity in relativistic heavy-ion collisions
• New Forms of QCD Matter Discovered at RHIC
• The QCD equation of state with dynamical quarks
• The QCD phase diagram for external magnetic fields
• Exploring improved holographic theories for QCD: Part II
• Wilson-Polyakov Loop at Finite Temperature in Large N Gauge Theory and Anti-de Sitter Supergravity
• "Strongly interacting matter in magnetic fields": an overview
• Exploring improved holographic theories for QCD: Part I
• Mimicking the QCD equation of state with a dual black hole
• Wilson Loops in the Large N Limit at Finite Temperature
• The QCD equation of state in background magnetic fields
• Color Screening Melts Quarkonium
• Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD
• Violation of the Holographic Viscosity Bound in a Strongly Coupled Anisotropic Plasma
• Magnetic catalysis and anisotropic confinement in QCD
• Thermodynamics and Instabilities of a Strongly Coupled Anisotropic Plasma
• Magnetic Brane Solutions in AdS
• Holographic Renormalization of general dilaton-axion gravity
• Quarkonia Correlators Above Deconfinement
• Charmonia and Bottomonia in a Magnetic Field
• Anisotropic shear viscosity of a strongly coupled non-Abelian plasma from magnetic branes
• Debye screening in strongly coupled N=4 supersymmetric Yang-Mills plasma
• Large Nc Deconfinement Transition in the Presence of a Magnetic Field
• Anisotropy of the quark-antiquark potential in a magnetic field
• Paramagnetic squeezing of QCD matter
• Magnetic susceptibility and equation of state of N_f = 2+1 QCD with physical quark masses
• Heavy quarkonium production in a strong magnetic field
• Thermal Width of the ${\rm Y}$ at Large t' Hooft Coupling
• Modification of the B Meson Mass in a Magnetic Field from QCD Sum Rules
• Magnetic Susceptibility of Strongly Interacting Matter across the Deconfinement Transition
• Connecting Polyakov Loops to the Thermodynamics of $SU(N_c)$ Gauge Theories Using the Gauge-String Duality
• Estimates for the Thermal Width of Heavy Quarkonia in Strongly Coupled Plasmas from Holography
• Quarkonium dissociation by anisotropy
• Magnetic Field Induced Quantum Criticality via new Asymptotically AdS_5 Solutions
• The Heavy Quark Potential as a Function of Shear Viscosity at Strong Coupling
• The Chern-Simons diffusion rate in strongly coupled N=4 SYM plasma in an external magnetic field
• The Heavy Quark Free Energy in QCD and in Gauge Theories with Gravity Duals
• Gravity Dual Corrections to the Heavy Quark Potential at Finite-Temperature

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• Anisotropic string tensions and inversely magnetic catalyzed deconfinement from a dynamical AdS/QCD model
• Holographic calculation of the QCD crossover temperature in a magnetic field
• QCD phase diagram in a magnetic background for different values of the pion mass
• The melting of charmonium in a magnetic field from an effective AdS/QCD model
• Magnetic field effects on the static quark potential at zero and finite temperature
• Heavy quarkonia in strong magnetic fields
• No inverse magnetic catalysis in the QCD hard and soft wall models
• Inverse Magnetic Catalysis in the Soft-Wall Model of AdS/QCD
• Heavy quark complex potential in a strongly magnetized hot QGP medium
• Confining gauge theories and holographic entanglement entropy with a magnetic field
• Chiral transition in the probe approximation from an Einstein-Maxwell-dilaton gravity model
• Hot QCD Phase Diagram From Holographic Einstein-Maxwell-Dilaton Models
• Heavy meson spectroscopy under strong magnetic field
• Screening masses in strong external magnetic fields
• A review of quarkonia under strong magnetic fields
• Confining and chiral properties of QCD in extremely strong magnetic fields
• Effects of a strong magnetic field on the QCD flux tube
• Cigar-shaped quarkonia under strong magnetic field
• Delayed versus accelerated quarkonium formation in a magnetic field
• Jet quenching parameters in strongly coupled anisotropic plasmas in the presence of magnetic fields
• Probing strongly coupled anisotropic plasmas from higher curvature gravity
• Heavy quark potential and LQCD based quark condensate at finite magnetic field
• Low-energy modes in anisotropic holographic fluids
• Drag force in strongly coupled $\mathcal{N}=4$ SYM plasma in a magnetic field
• Brane nucleation instabilities in non-AdS/non-CFT
• Hadronic Paschen-Back effect
• Holographic QCD and magnetic fields
• Magnetising the $\mathcal{N}=4$ Super Yang-Mills plasma
• Quarkonium radiative decays from the hadronic Paschen-Back effect
• Imaginary potential in strongly coupled $\mathcal{N}=4$ SYM plasma in a magnetic field
• Survival probabilities of charmonia as a clue to measure transient magnetic fields
• 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
• Holographic real and imaginary potentials of heavy quarkonium in Yang-Mills-dilaton black holes
• Electromagnetic Debye mass within Gribov-Zwanziger action
• Probing Quarkonium Diffusion in a Magnetized Quark-Gluon Plasma