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arXiv · 1410.6388

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

Alejandro Ayala·J. J. Cobos-Martinez·M. Loewe·Maria Elena Tejeda-Yeomans·R. Zamora
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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.

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Alejandro Ayala, J. J. Cobos-Martinez, M. Loewe, Maria Elena Tejeda-Yeomans, R. Zamora. 2014-10-23. Finite temperature quark-gluon vertex with a magnetic field in the Hard Thermal Loop approximation. https://doi.org/10.1103/physrevd.91.016007

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