UV/IR Mixing in Noncommutative Field Theories and Open Closed String Duality

TL;DR

This paper explores how UV/IR mixing in noncommutative field theories relates to open-closed string duality, revealing the origin of infrared divergences from bulk closed string modes and the influence of background B-fields.

Contribution

It provides a detailed analysis of UV/IR mixing in noncommutative theories through the lens of string theory duality, especially highlighting the role of B-fields and orbifold backgrounds.

Findings

Infrared divergences originate from bulk closed string modes.

Open-closed duality explains UV/IR mixing phenomena.

Background B-fields significantly affect the duality and divergences.

Abstract

In this paper we study the phenomenon of UV/IR mixing in noncommutative field theories from the point of view of world-sheet open-closed duality in string theory. New infrared divergences in noncommutative field theories arise as a result of integrating over high momentum modes in the loops. These are believed to come from integrating out additional bulk closed string modes. We analyse this issue in detail for the bosonic theory and further for the supersymmetric theory on the $C^2/Z_2$ orbifold. We elucidate on the exact role played by the constant background $B$-field in this correspondence.