On the finiteness of noncommutative supersymmetric QED$_3$ in the covariant superfield formulation

TL;DR

This paper proves that noncommutative supersymmetric QED in three dimensions is finite at one loop and exhibits no UV/IR mixing at any loop order, using a superfield approach.

Contribution

It demonstrates the all-loop absence of UV/IR mixing and one-loop finiteness in noncommutative supersymmetric QED$_3$ using superfield techniques.

Findings

No UV/IR mixing at any loop order.

One-loop finiteness of the theory.

Superfield approach effectively analyzes noncommutative supersymmetric gauge theories.

Abstract

The three-dimensional noncommutative supersymmetric QED is investigated within the superfield approach. We prove the absence of UV/IR mixing in the theory at any loop order and demonstrate its one-loop finiteness.