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

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.

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

References in corpus (2)

• A Worldsheet Description of Planar Yang-Mills Theory
• A Worldsheet Description of Large N_c Quantum Field Theory

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