One-loop divergences in two-dimensional Maxwell-dilaton quantum gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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UB-ECM-PF 92/17, Latex file, 12 pages

Scientific paper

10.1142/S0217732393000040

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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