One-loop corrections to the photon propagator in the curved-space QED

Abstract

We calculate and discuss the one-loop corrections to the photon sector of QED interacting to a background gravitational field. At high energies the fermion field can be taken as massless and the quantum terms can be obtained by integrating conformal anomaly. We present a covariant local expression for the corresponding effective action, similar to the one obtained earlier for the gravitational sector. At the moderate energies the quantum terms can be obtained through the heat kernel method. In this way we derive the exact one-loop beta-function for the electric charge in the momentum subtraction scheme and explore both massless and large mass limits. The relation between the two approaches is shown and the difference discussed in view of the possible applications to cosmology and astrophysics.

17 pages, PRD format, 4 figures. Two references added, a few English mistakes fixed, closely fits published version

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Cited by in corpus (18)

• Conformal Anomalies and the Gravitational Effective Action: The $TJJ$ Correlator for a Dirac Fermion
• Strong field QED in lepton colliders and electron/laser interactions
• Vacuum effective actions and mass-dependent renormalization in curved space
• Modified gravity models and the central cusp of dark matter halos in galaxies
• Semiclassical geons at particle accelerators
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• Elliptical galaxies kinematics within general relativity with renormalization group effects
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• Exact formfactors in the one-loop curved-space QED and the nonlocal multiplicative anomaly
• A Gauge-Gravity Relation in the One-loop Effective Action
• Extending the Euler-Heisenberg action to include effects of local Lorentz-symmetry violating backgrounds
• Scale-dependent gravity and covariant scale-setting
• Form factors and non-local Multiplicative Anomaly for fermions with background torsion
• Anomaly-induced vacuum effective action with torsion: covariant solution and ambiguities