String-generated quartic scalar interactions

TL;DR

This paper uses string theory techniques to derive two-loop Feynman diagrams for a scalar field theory with SU(N) symmetry, connecting string amplitudes to quantum field theory results.

Contribution

It introduces a novel method using the string 'cutting and sewing' procedure to obtain multi-loop scalar field theory amplitudes from string tachyon amplitudes.

Findings

Successfully reproduces two-loop Feynman diagrams from string theory

Provides a normalized field theory limit of string amplitudes

Expresses results in Schwinger parametrization

Abstract

The {\em cutting and sewing} procedure is used for getting two-loop order Feynman diagrams of $\Phi^{4}$-theory with an internal SU(N) symmetry group, starting from tachyon amplitudes of the open bosonic string theory. In a suitably defined field theory limit, we reproduce the field theory amplitudes properly normalized and expressed in the Schwinger parametrization.