Finite temperature quark-gluon vertex with a magnetic field in the hard thermal loop approximation

Alejandro Ayala, J. J. Cobos-Martínez, M. Loewe, María Elena Tejeda-Yeomans, and R. Zamora
Phys. Rev. D 91, 016007 – Published 22 January 2015

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.

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  • Received 24 October 2014

DOI:https://doi.org/10.1103/PhysRevD.91.016007

© 2015 American Physical Society

Authors & Affiliations

Alejandro Ayala1,5,*, J. J. Cobos-Martínez2, M. Loewe3,5, María Elena Tejeda-Yeomans4,1, and R. Zamora3,1

  • 1Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, México Distrito Federal 04510, Mexico
  • 2Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Ciudad Universitaria, Morelia, Michoacán 58040, Mexico
  • 3Instituto de Física, Pontificia Universidad Católica de Chile, Casilla 306, Santiago 22, Chile
  • 4Departamento de Física, Universidad de Sonora, Boulevard Luis Encinas y Rosales, Colonia Centro, Hermosillo, Sonora 83000, Mexico
  • 5Centre for Theoretical and Mathematical Physics, and Department of Physics, University of Cape Town, Rondebosch 7700, South Africa

  • *Corresponding author. ayala@nucleares.unam.mx

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Vol. 91, Iss. 1 — 1 January 2015

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