English

Mean field quantization of effective string

High Energy Physics - Theory 2018-08-15 v4 High Energy Physics - Phenomenology

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 γstr\gamma_{\rm 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.

Keywords

Cite

@article{arxiv.1802.07541,
  title  = {Mean field quantization of effective string},
  author = {Yuri Makeenko},
  journal= {arXiv preprint arXiv:1802.07541},
  year   = {2018}
}

Comments

28+5 pages, 4 figures, v2: ancillary file fixed, v3: polished, v4: clarifications added

R2 v1 2026-06-23T00:28:44.741Z