Diagrams of Noncommutative Phi-Three Theory from String Theory

TL;DR

This paper derives noncommutative phi-three theory diagrams from open string tachyon amplitudes with a B-field and verifies their factorization properties in the string theory limit.

Contribution

It demonstrates the connection between string theory amplitudes and noncommutative phi-three field theory, including factorization checks.

Findings

Amplitudes reduce to noncommutative phi-three diagrams in the field theory limit.

One-loop amplitudes factorize correctly in the long cylinder limit.

The approach confirms the string theory origin of noncommutative field theories.

Abstract

Starting from tree and one-loop tachyon amplitudes of open string theory in the presence of a constant B-field, we explore two problems. First we show that in the noncommutative field theory limit the amplitudes reduce to tree and one-loop diagrams of the noncommutative phi-three theory. Next, we check factorization of the one-loop amplitudes in the long cylinder limit.