Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
Volume 38, Issue 2, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217751X23500100
Keywords
Noncritical strings; two-dimensional conformal field theory; Pauli-Villars' regularization
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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.
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.
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