Geodesic
Nonperturbative conditions for local Weyl invariance on a~curved world sheet
Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 2, pp. 361-384

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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. 
@article{TMF_1993_95_2_a18,
     author = {J. Schnittger and U. Ellwanger},
     title = {Nonperturbative conditions for local {Weyl} invariance on a~curved world sheet},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {361--384},
     publisher = {mathdoc},
     volume = {95},
     number = {2},
     year = {1993},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a18/}
}
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J. Schnittger; U. Ellwanger. Nonperturbative conditions for local Weyl invariance on a~curved world sheet. Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 2, pp. 361-384. http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a18/