Abstract
We compute the thermomagnetic 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 thermomagnetic 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 for understanding the inverse magnetic catalysis phenomenon.
- Received 24 October 2014
DOI:https://doi.org/10.1103/PhysRevD.91.016007
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