String Field Theory and Perturbative Dynamics of Noncommutative Field Theory

TL;DR

This paper explores how string field theory explains the perturbative dynamics of noncommutative field theory, highlighting the crucial role of closed strings in UV behavior and resolving UV/IR discrepancies.

Contribution

It demonstrates that closed strings, as bound states of open strings, are essential for understanding the UV/IR behavior in noncommutative field theories within a string field theory framework.

Findings

Closed strings are key to UV behavior in NCFT.

Discrepancies between NCFT and string theory are due to closed string contributions.

Closed strings interact nontrivially with open strings, affecting perturbative dynamics.

Abstract

The perturbative dynamics of noncommutative field theory (NCFT) is discussed from a point view of string field theory. As in the commutative case it is inevitable to introduce a closed string, which may be described as a bound state of two noncommutative open strings. We point out that the closed string, interacting nontrivially with the open string, plays an essential role in the ultraviolet region. The contribution of the closed string is responsible for the discrepancy between the NCFT and the string field theory. It clarifies the controversial issues associated with the ultraviolet/infrared (UV/IR) behaviour of the perturbative dynamics of the NCFT.