Conformal anomaly transport induced by dark photon
Marek Rogatko, Karol I. Wysokinski
TLDR
This paper investigates how inhomogeneous gravity affects transport in a dark photon model, predicting corrections to scale conductivities.
Key contributions
- Investigates transport effects for massless Dirac fermions in inhomogeneous gravitational fields.
- Models dark sector using a dark photon (auxiliary U(1)-gauge field) coupled to visible matter.
- Simplifies analysis by assuming slight deviation from Minkowski spacetime via Weyl transformation.
- Predicts scale conductivity corrections: linear in dark sector, quadratic in visible sector.
Why it matters
This research explores fundamental interactions between gravity, dark matter, and visible matter. It predicts specific corrections to scale conductivities, offering testable insights into transport phenomena in complex astrophysical environments and guiding searches for dark sector interactions.
Original Abstract
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.
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