English

A Mean Field Approximation to the Worldsheet Model of Planar phi^3 Field Theory

High Energy Physics - Theory 2014-11-18 v2

Abstract

We develop an approximation scheme for our worldsheet model of the sum of planar diagrams based on mean field theory. At finite coupling the mean field equations show a weak coupling solution that resembles the perturbative diagrams and a strong coupling solution that seems to represent a tensionless soup of field quanta. With a certain amount of fine-tuning, we find a solution of the mean field equations that seems to support string formation.

Keywords

Cite

@article{arxiv.hep-th/0206205,
  title  = {A Mean Field Approximation to the Worldsheet Model of Planar phi^3 Field Theory},
  author = {Korkut Bardakci and Charles B. Thorn},
  journal= {arXiv preprint arXiv:hep-th/0206205},
  year   = {2014}
}

Comments

27 pages, 10 figures, typos corrected, appendix on slowly varying mean fields added