Perturbation Series in Light-Cone Diagrams of Green Function of String Field

TL;DR

This paper establishes a correspondence between Feynman diagrams and light-cone diagrams in string field theory using path integrals, and provides a general perturbation series representation for string interactions.

Contribution

It introduces a novel proof linking space-time Feynman diagrams with light-cone diagrams via path integrals and derives a comprehensive perturbation series for string splitting and joining.

Findings

Proved the correspondence between Feynman and light-cone diagrams.

Derived a general perturbation series for string interactions.

Provided a new representation for string splitting and joining processes.

Abstract

In this paper, we proved the correspondence between Feynman diagrams in space-time and light-cone diagrams in world-sheet by using only path integral representation on free Green function in the first quantization theory. We also obtained general representation on perturbation series of light-cone diagrams describing split and join of strings.