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.

arXiv comment13 pages, 2 figures; v2: Appendix added; v3: to appear in JHEP

References in corpus (14)

• The Effective Theory of Long Strings
• Effective String Theory Revisited
• Weyl Symmetry and the Liouville Theory
• Effective String Theory Simplified
• Energy-Momentum Tensor Improvements in Two Dimensions
• String theory as a Lilliputian world
• Exact quantum conformal symmetry, its spontaneous breakdown, and gravitational Weyl anomaly
• Scaling behavior of regularized bosonic strings
• Private life of the Liouville field that causes new anomalies in the Nambu-Goto string
• 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
• Opus on conformal symmetry of the Nambu-Goto versus Polyakov strings
• Mean field quantization of effective string
• The susceptibility exponent of Nambu-Goto strings