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One Loop Counterterms in 2D Dilaton-Maxwell Quantum Gravity

E. Elizalde, S. Naftulin, S. D. Odintsov

hep-tharXiv:hep-th/9212139

Abstract

The renormalization structure of two-dimensional quantum gravity is investigated, in a covariant gauge. One-loop divergences of the effective action are calculated. All the surface divergent terms are taken into account, thus completing previous one-loop calculations of the theory. It is shown that the on-shell effective action contains only surface divergences. The off-shell renormalizability of the theory is discussed and classes of renormalizable dilaton and Maxwell potentials are found.

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