Finite temperature QCD four-point function in the presence of a weak magnetic field within the hard thermal loop approximation

Abstract

We compute the weak magnetic field correction to the four-point quark-gluon vertex at finite temperature and chemical potential within the hard thermal loop approximation. The resulting four-point quark-gluon vertex satisfies the Ward identity with the three-point quark-gluon vertex.

11 pages, 1 figure, v2, published in PRD

References in corpus (16)

• The Chiral Magnetic Effect
• The equation of state in (2+1)-flavor QCD
• The QCD equation of state in background magnetic fields
• The Importance of Asymptotic Freedom for the Pseudocritical Temperature in Magnetized Quark Matter
• 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
• Electrical Conductivity of Quark-Gluon Plasma in Strong Magnetic Fields
• NNLO hard-thermal-loop thermodynamics for QCD
• Electromagnetic radiation by quark-gluon plasma in magnetic field
• Three-loop HTL gluon thermodynamics at intermediate coupling
• Vacuum structure and chiral symmetry breaking in strong magnetic fields for hot and dense quark matter
• Finite temperature quark-gluon vertex with a magnetic field in the Hard Thermal Loop approximation
• Spectral properties of $\rho$ meson in a magnetic field
• Effect of magnetic field on dilepton production in a hot plasma
• Transport properties of hadronic matter in magnetic field
• CP violation and chiral symmetry breaking in hot and dense quark matter in presence of magnetic field

Cited by in corpus (8)

• Pressure of a weakly magnetized hot and dense deconfined QCD matter in one-loop hard-thermal-loop perturbation theory
• General structure of gauge boson propagator and its spectra in a hot magnetized medium
• Hard dilepton production from a weakly magnetized hot QCD medium
• General structure of fermion two-point function and its spectral representation in a hot magnetised medium
• Heavy quark dynamics in a strongly magnetized quark-gluon plasma
• Hot perturbative QCD in a very strong magnetic background
• Collective modes of a massive fermion in a magnetized medium with finite anomalous magnetic moment
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD