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arXiv · hep-th/9311079

One-Loop Renormalization of Higher-Derivative 2D Dilaton Gravity

E. Elizalde·S. Naftulin·S. D. Odintsov
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Abstract

A theory of higher-derivative 2D dilaton gravity which has its roots in the massive higher-spin mode dynamics of string theory is suggested. The divergences of the effective action to one-loop are calculated, both in the covariant and in the conformal gauge. Some technical problems which appear in the calculations are discussed. An interpretation of the theory as a particular D=2 higher-derivative $σ$-model is given. For a specific case of higher-derivative 2D dilaton gravity, which is one loop multiplicatively renormalizable, static configurations corresponding to black holes are shown to exist.

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E. Elizalde, S. Naftulin, S. D. Odintsov. 1993-11-15. One-Loop Renormalization of Higher-Derivative 2D Dilaton Gravity. https://doi.org/10.1016/0370-2693(94)90280-1

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