In-medium polarization tensor in strong magnetic fields (I): Magneto-birefringence at finite temperature and density

Abstract

We investigate in-medium polarization effects of the fermion and antifermion pairs at finite temperature and density in strong magnetic fields within the lowest Landau level approximation. Inspecting the integral representation of the polarization tensor by analytic and numerical methods, we provide both the real and imaginary parts of the polarization tensor obtained after delicate interplay between the vacuum and medium contributions essentially due to the Pauli-blocking effect. Especially, we provide a complete analytic form of the polarization tensor at zero temperature and finite density that exhibits an exact cancellation and associated relocation of the singular threshold behaviors for a single photon decay to a fermion and antifermion pair. As a physical application of the in-medium polarization tensor, we discuss the magneto-birefringence that is polarization-dependent dispersion relations of photons induced by the strong magnetic fields.

A typo corrected. Published version

References in corpus (17)

• Physics of Strongly Magnetized Neutron Stars
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Advances in QED with intense background fields
• Evidence for vacuum birefringence from the first optical polarimetry measurement of the isolated neutron star RX\, J1856.5$-$3754
• Novel quantum phenomena induced by strong magnetic fields in heavy-ion collisions
• Inflationary Perturbations: the Cosmological Schwinger Effect
• Electrical Conductivity of Quark-Gluon Plasma in Strong Magnetic Fields
• Magnetic field effects on the static quark potential at zero and finite temperature
• Bulk Viscosity of Quark-Gluon Plasma in Strong Magnetic Fields
• Vacuum birefringence in strong magnetic fields: (II) Complex refractive index from the lowest Landau level
• Magnetic-field Induced Screening Effect and Collective Excitations
• Di-lepton production from a single photon in strong magnetic fields: Vacuum dichroism
• Polarization tensor of magnetized quark-gluon plasma at nonzero baryon density
• Three-dimensional lattice SU($N_c$) gauge theories with multiflavor scalar fields in the adjoint representation
• Effect of collective spin excitation on electronic transport in topological spin texture
• Anatomy of the magnetic catalysis by renormalization-group method
• Note on all-order Landau-level structures of the Heisenberg-Euler effective actions for QED and QCD

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• Polarization Dynamics in Paramagnet of Charged Quark-Gluon Plasma
• Preponderant Orbital Polarization in Relativistic Magnetovortical Matter
• Nuclear deformation effects in photoproduction of $\rho$ mesons in ultraperipheral isobaric collisions