A Mean Field Approximation to the Worldsheet Model of Planar phi^3 Field Theory
Korkut Bardakci, Charles B. Thorn
TL;DR
This paper introduces a mean field approximation for a worldsheet model of planar phi^3 field theory, revealing solutions that resemble perturbative diagrams, tensionless quanta, and potential string formation.
Contribution
It develops a novel mean field approximation scheme for the worldsheet model, highlighting solutions that suggest string formation at certain conditions.
Findings
Weak coupling solution resembles perturbative diagrams
Strong coupling solution indicates tensionless quanta
Fine-tuning supports string formation
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.
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