Opus on conformal symmetry of the Nambu-Goto versus Polyakov strings

Abstract

I investigate the Nambu-Goto and Polyakov strings, accounting for higher-derivative terms in the emergent action for the metric tensor which are classically negligible for smooth metrics but revive quantumly. Using the conformal field theory technique by KPZ-DDK, I compute in the one-loop approximation the conformal dimension and the central charge which differs in the two cases, telling the Nambu-Goto and Polyakov strings apart. I confirm the results by explicit quantum field theory computations of the propagator and the energy-momentum tensor at one loop, using the Pauli-Villars regularization.

arXiv comment27 pages, 4 figures; v2: crucial check added; v3: reference added

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Cited by in corpus (2)

• Pauli-Villars' regularization of ghosts in path-integral string formulation
• What Quantum Strings can tell us about Quantum Gravity