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arXiv · 1509.01610

Thermo-magnetic behavior of the quark-gluon vertex

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

The thermo-magnetic corrections to the quark-gluon vertex in the presence of a weak magnetic field are calculated in the frame of the Hard Thermal Loop approximation. The vertex satisfies a QED-like Ward identity with the quark self-energy calculated within the same approximation. It turns out that only the longitudinal vertex components get modified. The calculation provides a first principles result for the quark anomalous magnetic moment at high temperature in a weak magnetic field. The effective thermo-magnetic quark-gluon coupling shows a decreasing behavior as function of the field strength. This result supports the observation that the behavior of the effective quark-gluon coupling in the presence of a magnetic field is an important ingredient in order to understand the inverse magnetic catalysis phenomenon recently observed in the lattice QCD simulations.

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Alejandro Ayala, J. J. Cobos-Martinez, M. Loewe, Maria Elena Tejeda-Yeomans, R. Zamora. 2015-09-21. Thermo-magnetic behavior of the quark-gluon vertex. https://arxiv.org/abs/1509.01610

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