On the scaling rules for the anomaly-induced effective action of metric and electromagnetic field

Abstract

The anomaly-induced effective action is a useful tool for deriving the contributions coming from quantum effects of massless conformal fields. It is well-known that such corrections in the higher derivative vacuum sector of the gravitational action provide the same exponential inflation (Starobinsky model) as the cosmological constant term. At the same time, the presence of a classical electromagnetic field breaks down the exponential solution. In this paper we explore the role of the anomaly-induced term in the radiation sector and, furthermore, derive the ``equation of state'' and the scaling laws for all terms in the Einstein equations. As one could expect, the scaling law for the vacuum anomaly-induced effective action is the same as for the cosmological constant.

arXiv comment12 pages, LaTeX, 4 figures

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• Vacuum contribution of photons in the theory with Lorentz and CPT-violating terms
• Nonlocality of quantum matter corrections and cosmological constant running
• Semiclassical bounce with strong minimal assumptions
• Bounce and stability in the early cosmology with anomaly-induced corrections