Private life of the Liouville field that causes new anomalies in the Nambu-Goto string

Abstract

I consider higher-order terms of the Seeley expansion of the heat kernel, which for smooth metrics are suppressed as inverse powers of the UV cutoff $\Lambda$, and demonstrate how they result in an anomalous contribution to the string effective action after doing uncertainties ${\Lambda }^{-2}\times {\Lambda }^2$. For the Polyakov string these anomalies precisely reproduce at one loop the result of KPZ-DDK obtained for the Liouville theory by the conformal field theory technique. For the Nambu-Goto string I find a deviation from this result which shows that the two string formulations may differ.

21 pages, 5 figures; v2: slightly polished

References in corpus (1)

• The use of Pauli-Villars' regularization in string theory

Cited by in corpus (6)

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