The use of Pauli-Villars' regularization in string theory

Abstract

The proper-time regularization of bosonic string reproduces the results of canonical quantization in a special scaling limit where the length in target space has to be renormalized. We repeat the analysis for the Pauli-Villars regularization and demonstrate the universality of the results. In the mean-field approximation we compute the susceptibility anomalous dimension and show it equals 1/2. We discuss the relation with the previously known results on lattice strings.

arXiv comment1+22 pp

References in corpus (3)

• String theory as a Lilliputian world
• Scaling behavior of regularized bosonic strings
• Stability of the nonperturbative bosonic string vacuum

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• The susceptibility exponent of Nambu-Goto strings
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