Finite temperature quark-gluon vertex with a magnetic field in the Hard Thermal Loop approximation

Abstract

We compute the thermo-magnetic correction to the quark-gluon vertex in the presence of a weak magnetic field within the Hard Thermal Loop approximation. The vertex satisfies a QED-like Ward identity with the quark self-energy. The only vertex components that get modified are the longitudinal ones. The calculation provides a first principles result for the quark anomalous magnetic moment at high temperature in a weak magnetic field. We extract the effective thermo-magnetic quark-gluon coupling and show that this decreases as a function of the field strength. The result supports the idea that the properties of the effective quark-gluon coupling in the presence of a magnetic field are an important ingredient to understand the inverse magnetic catalysis phenomenon.

9 pages, 4 figures

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Cited by in corpus (10)

• Inverse Magnetic Catalysis in the three-flavor NJL model with axial-vector interaction
• Magnetic catalysis and inverse magnetic catalysis in nonlocal chiral quark models
• Revisit to electrical and thermal conductivities, Lorenz number and Knudsen number in thermal QCD in a strong magnetic field
• One-loop QCD thermodynamics in a strong homogeneous and static magnetic field
• Magnetic field dependence of the neutral pion mass in the linear sigma model with quarks: The strong field case
• Strong magnetic fields in nonlocal chiral quark models
• Hard dilepton production from a weakly magnetized hot QCD medium
• Thermomagnetic correlation lengths of strongly interacting matter in the Nambu--Jona-Lasinio model
• Thermo-magnetic nonlocal NJL model in the real and imaginary time formalisms
• Hadronic matter at the edge: A survey of some theoretical approaches to the physics of the QCD phase diagram