Gluon polarization tensor in a magnetized medium: Analytic approach starting from the sum over Landau levels
arXiv:1912.07136 · doi:10.1103/PhysRevD.101.036016
Abstract
We present an analytic method to compute the one-loop magnetic correction to the gluon polarization tensor starting from the Landau-level representation of the quark propagator in the presence of an external magnetic field. We show that the general expression contains the vacuum contribution that can be isolated from the zero-field limit for finite gluon momentum. The general tensor structure for the gluon polarization also contains two spurious terms that do not satisfy the transversality properties. However, we also show that the coefficients of this structures vanish and thus do not contribute to the polarization tensor, as expected. In order to check the validity of the expressions we study the strong and weak field limits and show that well established results are reproduced. The findings can be used to study the conditions for gluons to equilibrate with the magnetic field produced during the early stages of a relativistic heavy-ion collision.
20 pages, 4 figures. Expanded discussion, slightly modified title. Version to appear in Phys. Rev. D
References in corpus (22)
- The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
- Estimate of the magnetic field strength in heavy-ion collisions
- Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
- QCD quark condensate in external magnetic fields
- Dimensional Reduction and Catalysis of Dynamical Symmetry Breaking by a Magnetic Field
- Comments About the Electromagnetic Field in Heavy-Ion Collisions
- Evidence for vacuum birefringence from the first optical polarimetry measurement of the isolated neutron star RX\, J1856.53754
- Conformal anomaly as a source of soft photons in heavy ion collisions
- Vacuum birefringence in strong magnetic fields: (I) Photon polarization tensor with all the Landau levels
- Electromagnetic spectral properties and Debye screening of a strongly magnetized hot medium
- The Glasma, Photons and the Implications of Anisotropy
- Magnetic-field Induced Screening Effect and Collective Excitations
- Thermal gluo-magnetic vacuum of SU(N) gauge theory
- The Magneto-Sono-Luminescence and its signatures in photon and dilepton production in heavy ion collisions
- On the role of magnetic field in photon excess in heavy ion collisions
- Prompt photon yield and elliptic flow from gluon fusion induced by magnetic fields in relativistic heavy-ion collisions
- Gluon Spectrum in Quark-Gluon Plasma under Strong Magnetic Fields
- Effect of magnetic field on the photon radiation from quark-gluon plasma in heavy ion collisions
- On generation of Abelian magnetic fields in SU(3) gluodynamics at high temperature
- A numerical evaluation of vacuum polarization tensor in constant external magnetic fields
- Thermal photon production from gluon fusion induced by magnetic fields in relativistic heavy-ion collisions
- Magnetic Field Effect in the Fine-Structure Constant and Electron Dynamical Mass
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- Anisotropic photon emission from gluon fusion and splitting in a strong magnetic background I: The two-gluon one-photon vertex
- The fermion self-energy and damping rate in a hot magnetized plasma
- Fermion mass and width in QED in a magnetic field
- Influence of magnetic field-induced anisotropic gluon pressure during pre-equilibrium in heavy-ion collisions: A faster road towards isotropization
- Quark anomalous magnetic moment in an extreme magnetic background from perturbative QCD