Worldsheet Covariant Path Integral Quantization of Strings

  • van Tonder, A
Publication date
June 2006
ISSN
0217-751X

Abstract

We discuss a covariant functional integral quantization of the bosonic string and other conformal field theories. In contrast to the existing approaches relying on non-covariant operator regularizations, interesting operators are true tensor objects with classical transformation laws, even in anomalous theories, while physical anomalies are manifested in the formalism in a way that is different from conventional approaches, yet often quite illuminating. In contrast to non-covariant approaches, no implicit gauge choices are involved in operator renormalization, which makes the origin of anomalies clearer. After constructing covariantly regularized vertex operators, we define a class of background-independent path integral measures suitable f...

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