Heavy Quark Potential in a static and strong homogeneous magnetic field

Abstract

We have investigated the properties of quarkonia in a thermal QCD medium in the background of strong magnetic field. For that purpose, we employ the Schwinger proper-time quark propagator in the lowest Landau level to calculate the one-loop gluon self-energy, which in the sequel gives the the effective gluon propagator. As an artifact of strong magnetic field approximation ($eB>>T^2$ and $eB>>m^2$), the Debye mass for massless flavors is found to depend only on the magnetic field which is the dominant scale in comparison to the scales prevalent in the thermal medium. However, for physical quark masses, it depends on both magnetic field and temperature in a low temperature and high magnetic field but the temperature dependence is very meagre and becomes independent of temperature beyond a certain temperature and magnetic field. With the above mentioned ingredients, the potential between heavy quark ($Q$) and anti-quark ($\bar{Q}$) is obtained in a hot QCD medium in the presence of strong magnetic field by correcting both short and long range components of the potential in real-time formalism. It is found that the long range part of the quarkonium potential is affected much more by magnetic field as compared to the short range part. This observation facilitates us to estimate the magnetic field beyond which the potential will be too weak to bind $Q\bar{Q}$ together. For example, the $J/\psi$ is dissociated at $eB\sim$ 10 $m_{\pi }^2$ and ${\rm Y}$ is dissociated at $eB\sim$ 100 $m_{\pi }^2$ whereas its excited states, ${\psi }^{\prime }$ and ${{\rm Y}}^{\prime }$ are dissociated at smaller magnetic field $eB=m_{\pi }^2$, $13m_{\pi }^2$, respectively.

20 pages, 5 figures

References in corpus (11)

• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Static quark-antiquark pairs at finite temperature
• Real and imaginary-time $Q\bar{Q}$ correlators in a thermal medium
• Quark Antiscreening at Strong Magnetic Field and Inverse Magnetic Catalysis
• Synchrotron radiation by fast fermions in heavy-ion collisions
• Lattice Simulations of the Thermodynamics of Strongly Interacting Elementary Particles and the Exploration of New Phases of Matter in Relativistic Heavy Ion Collisions
• Magnetic field effects on the static quark potential at zero and finite temperature
• Dissociation of quarkonium in hot QCD medium: Modification of the inter-quark potential
• Screening masses in strong external magnetic fields
• Potential models and lattice correlators for quarkonia at finite temperature
• Heavy Quark Potential at Finite Temperature in a Dual Gravity Closer to Large N QCD

Cited by in corpus (38)

• Heavy Quarkonium in Extreme Conditions
• Heavy quark complex potential in a strongly magnetized hot QGP medium
• Thermodynamics of heavy quarkonium in magnetic field background
• One-loop QCD thermodynamics in a strong homogeneous and static magnetic field
• Pressure of a weakly magnetized hot and dense deconfined QCD matter in one-loop hard-thermal-loop perturbation theory
• A review of quarkonia under strong magnetic fields
• Dynamics of Hot QCD Matter -- Current Status and Developments
• Dissociation of heavy quarkonia in a weak magnetic field
• Confining and chiral properties of QCD in extremely strong magnetic fields
• Electrical conductivity of a hot and dense QGP medium in a magnetic field
• Heavy quark dynamics in a hot magnetized QCD medium
• Effects of a strong magnetic field on the QCD flux tube
• Heavy quarkonia in a bulk viscous medium
• Thermoelectric properties of (an-)isotropic QGP in magnetic fields
• Thermoelectric behaviour of hot collisional and magnetized QCD medium from an effective kinetic theory
• Thermomagnetic properties and Bjorken expansion of hot QCD matter in a strong magnetic field
• HQ Collisional energy loss in a magnetized medium
• Heavy quark potential and LQCD based quark condensate at finite magnetic field
• Anisotropic tomography of heavy quark dissociation by using general propagator structure at finite magnetic field
• Thermal transport in a weakly magnetized hot QCD medium
• Hadronic Paschen-Back effect
• Gauge-invariant screening masses and static quark free energies in $N_f=2+1$ QCD at non-zero baryon density
• Dynamics of in-medium quarkonia in SU(3) and SU(2) gauge theories
• Chiral susceptibility in dense thermo-magnetic QCD medium within HTL approximation
• Quarkonium radiative decays from the hadronic Paschen-Back effect
• Dissociation of heavy quarkonium states in rapidly varying strong magnetic field
• Heavy quarkonia in QGP medium in an arbitrary magnetic field
• Spectral functions of heavy quarkonia in a bulk-viscous quark gluon plasma
• Survival probabilities of charmonia as a clue to measure transient magnetic fields
• Quarkonia dissociation at finite magnetic field in the presence of momentum anisotropy
• Quantum color screening in external magnetic field
• Magnetic field induced hair structure in charmonium gluon-dissociation
• Relativistic dynamics of charmonia in strong magnetic fields
• Structure of heavy quarkonia in a strong magnetic field
• Electromagnetic Debye mass within Gribov-Zwanziger action
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
• Landau-Zener-Stückelberg-Majorana dynamics of magnetized quarkonia
• Quarkonium spectra with magnetically induced anisotropic confinement