Covariant And Local Field Theory On The World Sheet

TL;DR

This paper develops a covariant and local world sheet field theory that sums planar phi^3 graphs, providing an equivalent but more Lorentz-invariant formulation compared to previous non-local, non-covariant models.

Contribution

The paper introduces a covariant and local formulation of the world sheet field theory, improving upon the non-local, non-covariant previous model.

Findings

Successfully constructs a covariant, local world sheet theory

Proves the equivalence to the original non-covariant model

Enhances the theoretical consistency and Lorentz invariance

Abstract

In earlier work, using the light cone picture, a world sheet field theory that sums planar phi^3 graphs was constructed and developed. Since this theory is both non-local and not explicitly Lorentz invariant, it is desirable to have a covariant and local alternative. In this paper, we construct such a covariant and local world sheet theory, and show that it is equivalent to the original non-covariant version.