Stability of the nonperturbative bosonic string vacuum

Abstract

Quantization of the bosonic string around the classical, perturbative vacuum is not consistent for spacetime dimensions 2<d<26. Recently we have showed that at large d there is another so-called mean field vacuum. Here we extend this mean field calculation to finite d and show that the corresponding mean field vacuum is stable under quadratic fluctuations for 2<d<26. We point out the analogy with the two-dimensional O(N)-symmetric sigma-model, where the 1/N-vacuum is very close to the real vacuum state even for finite N, in contrast to the perturbative vacuum.

v2: 6pp, section about vacuum instability/stability added, to appear in PLB

References in corpus (2)

• String theory as a Lilliputian world
• Scaling behavior of regularized bosonic strings

Cited by in corpus (6)

• The use of Pauli-Villars' regularization in string theory
• Private life of the Liouville field that causes new anomalies in the Nambu-Goto string
• Opus on conformal symmetry of the Nambu-Goto versus Polyakov strings
• Mean field quantization of effective string
• Scattering amplitudes of regularized bosonic strings
• What Quantum Strings can tell us about Quantum Gravity