On the alternative formulation of the three-dimensional noncommutative superspace

TL;DR

This paper introduces a new formulation of three-dimensional noncommutative superspace that simplifies quantum calculations, demonstrated through one-loop computations in chiral superfield theory.

Contribution

Proposes a novel version of 3D noncommutative superspace that facilitates quantum calculations, with explicit one-loop results for chiral superfield models.

Findings

Simplified one-loop two-point function calculation.

Derived one-loop low-energy effective action.

Validated the new superspace formulation.

Abstract

In this paper we propose a new version for the noncommutative superspace in 3D. This version is shown to be convenient for performing quantum calculations. In the paper, we use the theory of the chiral superfield as a prototype for possible generalizations, calculating the one-loop two-point function of a chiral supefield and the one-loop low-energy effective action in this theory.