Technical Remarks and Comments on the UV/IR-Mixing Problem of a Noncommutative Scalar Quantum Field Theory

TL;DR

This paper explores a resummation approach to address the UV/IR-mixing problem in noncommutative scalar quantum field theories, proposing a potential solution and discussing extensions to gauge theories.

Contribution

It introduces a resummation method specifically aimed at curing UV/IR-mixing in noncommutative scalar field theories and sketches its application to gauge theories.

Findings

Resummation may mitigate UV/IR-mixing in scalar theories

Method potentially extendable to gauge theories

Provides a conceptual framework for future research

Abstract

In this letter we will dicuss the possibility of a resummation procedure in order to cure the UV/IR-mixing problem of noncommutative field theories. The method is presented for a scalar phi^4 theory on Euclidean space. Finally, we sketch the idea of resummation for U(1)-gauge theories.