General structure of gauge boson propagator and its spectra in a hot magnetized medium

Abstract

Based on transversality condition of gauge boson self-energy we have systematically constructed the general structure of the gauge boson two-point functions using four linearly independent basis tensors in presence of a nontrivial background, i.e., hot magnetized material medium. The hard thermal loop approximation has been used for the heat bath to compute various form factors associated with the gauge boson's two point functions both in strong and weak field approximation. We have also analyzed the dispersion of a gauge boson (e.g., gluon) using the effective propagator both in strong and weak magnetic field approximation. The formalism is also applicable to QED. The presence of only thermal background leads to a longitudinal (plasmon) mode and a two-fold degenerate transverse mode. In presence of a hot magnetized background medium the degeneracy of the two transverse modes is lifted and one gets three quasiparticle modes. In weak field approximation one gets two transverse modes and one plasmon mode. On the other hand, in strong field approximation also one gets the three modes in Lowest Landau Level. The general structure of two-point function may be useful for computing the thermo-magnetic correction of various quantities associated with a gauge boson.

39 pages, 7 figures

References in corpus (8)

• The Chiral Magnetic Effect
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Inverse magnetic catalysis for the chiral transition induced by thermo-magnetic effects on the coupling constant
• Inverse magnetic catalysis in the linear sigma model with quarks
• Gluon Spectrum in Quark-Gluon Plasma under Strong Magnetic Fields
• The static hard-loop gluon propagator to all orders in anisotropy
• General structure of fermion two-point function and its spectral representation in a hot magnetised medium
• Finite temperature QCD four-point function in the presence of a weak magnetic field within the hard thermal loop approximation

Cited by in corpus (26)

• Pressure of a weakly magnetized hot and dense deconfined QCD matter in one-loop hard-thermal-loop perturbation theory
• Dynamics of Hot QCD Matter -- Current Status and Developments
• Dissociation of heavy quarkonia in a weak magnetic field
• Dynamics of QCD Matter -- current status
• Gluon polarization tensor and dispersion relation in a weakly magnetized medium
• Soft contribution to the damping rate of a hard photon in a weakly magnetized hot medium
• Thermomagnetic properties and Debye Screening for magnetized quark-gluon Plasma using the extended self-consistent quasiparticle model
• Anisotropic tomography of heavy quark dissociation by using general propagator structure at finite magnetic field
• Response of a weakly magnetized hot QCD medium to inhomogeneous electric field
• Heavy quark dynamics in a strongly magnetized quark-gluon plasma
• Second-order quark number susceptibility of deconfined QCD matter in the presence of a magnetic field
• Impact of chiral asymmetry and magnetic field on passage of an energetic test parton in a QCD medium
• Heavy quarkonia in QGP medium in an arbitrary magnetic field
• Covariant formulation of electrodynamics in isotropic media
• Photon propagation in non-trivial backgrounds
• Collective modes of a massive fermion in a magnetized medium with finite anomalous magnetic moment
• Quantum color screening in external magnetic field
• Dynamics of heavy flavour in a weakly magnetized hot QCD medium
• Collective modes of gluons in an anisotropic thermo-magnetic medium
• Impact of strong magnetic field, baryon chemical potential, and medium anisotropy on polarization and spin alignment of hadrons
• Nonperturbative heavy quark diffusion coefficients in a weakly magnetized thermal QCD medium
• Thermodynamics of strongly magnetized dense quark matter from hard dense loop perturbation theory
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
• Order-by-order Anisotropic Transport Coefficients of a Magnetised Fluid: a Chapman-Enskog Approach
• Non-perturbative heavy quark diffusion coefficients in arbitrarily magnetized quark-gluon plasma
• Spin alignment of Quarkonia: A Possible Probe of Deconfined QCD matter in Pb+Pb Collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV