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.
Keywords
Cite
@article{arxiv.1410.6388,
title = {Finite temperature quark-gluon vertex with a magnetic field in the Hard Thermal Loop approximation},
author = {Alejandro Ayala and J. J. Cobos-Martinez and M. Loewe and Maria Elena Tejeda-Yeomans and R. Zamora},
journal= {arXiv preprint arXiv:1410.6388},
year = {2015}
}
Comments
9 pages, 4 figures