UV/IR Mixing via Closed Strings and Tachyonic Instabilities

TL;DR

This paper explores how UV/IR mixing in non-supersymmetric non-commutative gauge theories can be understood through closed string exchanges, highlighting the role of tachyonic instabilities in type 0B string theory.

Contribution

It demonstrates that UV/IR mixing effects can be derived from a gauge invariant effective action involving open Wilson lines, linked to closed string modes like the tachyon.

Findings

UV/IR mixing linked to closed string exchange

Effective action involves open Wilson lines

Tachyon contributes to IR poles in the theory

Abstract

We discuss UV/IR mixing effects in non-supersymmetric non-commutative U(N) gauge theories. We show that the singular (non-planar) terms in the 2- and 3-point functions, namely the poles and the logarithms, can be obtained from a manifestly gauge invariant effective action. The action, which involves open Wilson line operators, can be derived from closed strings exchange between two stacks of D-branes. Our concrete example is type 0B string theory and the field theory that lives on a collection of N electric D3-branes. We show that one of the closed string modes that couple to the field theory operator which is responsible for the infrared poles, is the type 0 tachyon.