Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-11-30
Theor.Math.Phys. 95 (1993) 643-662; Int.J.Mod.Phys. A9 (1994) 1821-1848
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, HD-THEP-92-28
Scientific paper
10.1007/BF01017149
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.
Ellwanger Ulrich
Schnittger Jens
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