This article is cited in 2 papers

Nonperturbative conditions for local Weyl invariance on a curved world sheet

J. Schnittger, U. Ellwanger


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 $\beta$ function. We find the $\beta$ functions, after suitable field redefinitions, to be related to a target space effective action through a $\kappa$ function involving derivatives. Also we can establish a nonperturbative Curci–Paffuti relation including the tachyon $\beta$ function.

Language: English

 English version: Theoretical and Mathematical Physics, 1993, 95:2, 643–662

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