Two-gluon one-photon vertex in a magnetic field and its explicit one-loop approximation in the intermediate field strength regime

Fuente: arXiv
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Autores principales: Ayala, Alejandro, Bernal-Langarica, Santiago, Jaber-Urquiza, Jorge, Medina-Serna, José Jorge
Formato: Preprint
Publicado: 2024
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author Ayala, Alejandro
Bernal-Langarica, Santiago
Jaber-Urquiza, Jorge
Medina-Serna, José Jorge
author_facet Ayala, Alejandro
Bernal-Langarica, Santiago
Jaber-Urquiza, Jorge
Medina-Serna, José Jorge
contents We find the general structure for the two-gluon one-photon vertex in the presence of a constant magnetic field. We show that, when accounting for the symmetries satisfied by the strong and electromagnetic interactions under parity, charge conjugation and gluon interchange, and for gluons and photons on mass-shell, there exist only three possible tensor structures that span the vertex. These correspond to external products of the polarization vectors for each of the particles in the vertex. We also explicitly compute the one-loop approximation to this vertex in the intermediate field strength regime, which is the most appropriate one to describe possible effects of the presence of a magnetic field to enhance photon emission during pre-equilibrium in peripheral relativistic heavy-ion collisions. We show that the most favored direction for the photon to propagate is in the plane transverse to the field, which is consistent with a positive contribution to $ν_2$ and may help to understand the larger than expected elliptic flow coefficient measured in this kind of reactions.
format Preprint
id arxiv_https___arxiv_org_abs_2406_18673
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Two-gluon one-photon vertex in a magnetic field and its explicit one-loop approximation in the intermediate field strength regime
Ayala, Alejandro
Bernal-Langarica, Santiago
Jaber-Urquiza, Jorge
Medina-Serna, José Jorge
High Energy Physics - Phenomenology
Nuclear Theory
We find the general structure for the two-gluon one-photon vertex in the presence of a constant magnetic field. We show that, when accounting for the symmetries satisfied by the strong and electromagnetic interactions under parity, charge conjugation and gluon interchange, and for gluons and photons on mass-shell, there exist only three possible tensor structures that span the vertex. These correspond to external products of the polarization vectors for each of the particles in the vertex. We also explicitly compute the one-loop approximation to this vertex in the intermediate field strength regime, which is the most appropriate one to describe possible effects of the presence of a magnetic field to enhance photon emission during pre-equilibrium in peripheral relativistic heavy-ion collisions. We show that the most favored direction for the photon to propagate is in the plane transverse to the field, which is consistent with a positive contribution to $ν_2$ and may help to understand the larger than expected elliptic flow coefficient measured in this kind of reactions.
title Two-gluon one-photon vertex in a magnetic field and its explicit one-loop approximation in the intermediate field strength regime
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2406.18673