Nonperturbative conditions for local Weyl invariance on a curved world sheet |
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Authors: | Jens Schnittger Ulrich Ellwanger |
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Institution: | (1) Present address: Laboratoire de Physique Théorique, Ecole Normale Supérieure, 24 rue Lhomond, F-75231 Paris Cedex 05 |
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Abstract: | We investigate Weyl anomalies on a curved world sheet to second order in a weak field expansion. Using a local version of the exact renormalization group equations, we obtain nonperturbative results for the tachyon/graviton/dilaton system. We discuss the elimination of redundant operators, which play a crucial role for the emergence of target space covariance. Performing the operator product expansion on a curved world sheet allows us to obtain the nonperturbative contributions to the dilaton function. We find the functions, after suitable field redefinitions, to be related to a target space effective action through a function involving derivatives. Also we can establish a nonperturbative Curci-Paffuti relation including the tachyon function.Supported by DFGSupported by a DFG Heisenberg fellowship.Published in Teoreticheskaya i Matematicheskaya Fizika, Vol. 95, No. 2, pp. 361–384, May, 1993. |
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