Mean field quantization of effective string

Abstract

I describe the recently proposed quantization of bosonic string about the mean-field ground state, paying special attention to the differences from the usual quantization about the classical vacuum which turns out to be unstable for d>2. In particular, the string susceptibility index ${\gamma }_{\mathrm{str}}$ is 1 in the usual perturbation theory, but equals 1/2 in the mean-field approximation that applies for 2<d<26. I show that the total central charge equals zero in the mean-field approximation and argue that fluctuations about the mean field do not spoil conformal invariance.

arXiv comment28+5 pages, 4 figures, v2: ancillary file fixed, v3: polished, v4: clarifications added

References in corpus (12)

• The Effective Theory of Long Strings
• Effective String Theory Revisited
• Flux Tube Spectra from Approximate Integrability at Low Energies
• Effective string description of confining flux tubes
• Effective String Theory Simplified
• The effective string spectrum in the orthogonal gauge
• String theory as a Lilliputian world
• Scaling behavior of regularized bosonic strings
• The use of Pauli-Villars' regularization in string theory
• An interplay between static potential and Reggeon trajectory for QCD string
• QCD String as an Effective String
• Stability of the nonperturbative bosonic string vacuum

Cited by in corpus (4)

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