Conformal anomaly transport induced by dark photon

Fuente: arXiv
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Main Authors: Rogatko, Marek, Wysokinski, Karol I.
Format: Preprint
Published: 2026
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author Rogatko, Marek
Wysokinski, Karol I.
author_facet Rogatko, Marek
Wysokinski, Karol I.
contents We have considered the problem of the influence of inhomogeneity of gravitational field on transport effects predicted by the field theory describing massless Dirac fermions in the Maxwell and dark matter background. As a model of dark sector one takes into account dark photon model, where the hidden sector is described by the auxiliary U(1)-gauge field coupled to the visible sector. Elaborating the model we restrict our considerations to the case when Weyl type conformal transformation slightly differs from the Minkowski spacetime. This assumption simplifies the calculations and enables us not to use complicated methods of the quantum field theory in the curved background. The resulting currents stemming both from visible and dark sectors are proportional to the adequate beta functions appearing in the elaborated systems. For charge-less dark sector we predict corrections to the scale conductivities in both sectors: linear in α in the dark sector and quadratic in the visible one.
format Preprint
id arxiv_https___arxiv_org_abs_2604_21664
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Conformal anomaly transport induced by dark photon
Rogatko, Marek
Wysokinski, Karol I.
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We have considered the problem of the influence of inhomogeneity of gravitational field on transport effects predicted by the field theory describing massless Dirac fermions in the Maxwell and dark matter background. As a model of dark sector one takes into account dark photon model, where the hidden sector is described by the auxiliary U(1)-gauge field coupled to the visible sector. Elaborating the model we restrict our considerations to the case when Weyl type conformal transformation slightly differs from the Minkowski spacetime. This assumption simplifies the calculations and enables us not to use complicated methods of the quantum field theory in the curved background. The resulting currents stemming both from visible and dark sectors are proportional to the adequate beta functions appearing in the elaborated systems. For charge-less dark sector we predict corrections to the scale conductivities in both sectors: linear in α in the dark sector and quadratic in the visible one.
title Conformal anomaly transport induced by dark photon
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2604.21664