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

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.

Automated summary

I investigate the Nambu-Goto and Polyakov strings, taking into account higher-derivative terms in the emergent action for the metric tensor. These terms are classically negligible but become relevant quantumly. Using the conformal field theory technique by KPZ-DDK, I compute the conformal dimension and central charge in the one-loop approximation, which distinguish the Nambu-Goto and Polyakov strings. I confirm the results by explicit quantum field theory computations and Pauli-Villars regularization.