Pauli-Villars' regularization of ghosts in path-integral string formulation

Abstract

I consider Pauli-Villars' regulators for the ghosts in the path-integral string formulation and show how they preserve conformal invariance. I calculate the regulator contributions to the effective action and to the central charge and demonstrate the consistency of the mean-field quantization of the Nambu-Goto string in $2<d\le 26$. The higher-derivative corrections to the Liouville action are briefly considered for the Pauli-Villars and proper-time regularizations.

13 pages, 2 figures; v2: Appendix added; v3: to appear in JHEP

References in corpus (3)

• Effective String Theory Revisited
• The use of Pauli-Villars' regularization in string theory
• Notes on conformal theory with nonprimary energy-momentum tensor that applies to the Nambu-Goto string