One-loop divergences in two-dimensional Maxwell-dilaton quantum gravity
E. Elizalde, S.D. Odintsov
TL;DR
This paper calculates one-loop divergences in two-dimensional Maxwell-dilaton quantum gravity, showing conditions for renormalizability and comparing divergence structures with four-dimensional Einstein-Maxwell gravity.
Contribution
It provides the first detailed calculation of one-loop divergences in 2D Maxwell-dilaton gravity and identifies conditions for its renormalizability.
Findings
Certain models are one-loop multiplicatively renormalizable.
Some models are finite at one-loop order.
Comparison with 4D Einstein-Maxwell reveals structural similarities.
Abstract
Two-dimensional Maxwell-dilaton quantum gravity, which covers a large family of the actions for two-dimensional gravity (in particular, string-inspired models) is investigated. Charged black holes which appear in the theory are briefly discussed. The one-loop divergences in the linear covariant gauges are calculated. It is shown that for some choices of the dilaton potential and dilaton-Maxwell coupling, the theory is one-loop multiplicatively renormalizable (or even finite). A comparison with the divergences structure of four-dimensional Einstein-Maxwell gravity is given.
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