Open string derivation of winding states in thermal noncommutative field theories

TL;DR

This paper derives the winding state behavior in thermal noncommutative field theories directly from open string theory, showing how noncommutativity influences the string scale and partition function without extra degrees of freedom.

Contribution

It provides a direct open string derivation of winding states in thermal noncommutative field theories, avoiding the need for additional degrees of freedom typically used in closed-string approaches.

Findings

Winding states emerge from open string analysis in thermal noncommutative settings.

The noncommutativity parameter acts as an effective string scale in the UV limit.

Two-loop partition functions with handles and boundaries are computed explicitly.

Abstract

The `winding state' behavior appears in the two-loop nonplanar contribution to the partition function in thermal noncommutative field theories. We derive this feature directly from the purely open string theory analysis in the presence of the constant background $B$-field; we compute the two-loop partition function for worldsheets with a handle and a boundary when the time direction of the Euclideanized target space is compactified. In contrast to the closed-string-inspired approach, it is not necessary to add infinite number of extra degrees of freedom. Furthermore, we find a piece of supporting evidence toward the conjecture that, in the UV limit, the noncommutativity parameter plays the role of the effective string scale in noncommutative field theories.