Three-dimensional noncommutative Yukawa theory: Induced effective action and propagating modes

TL;DR

This paper analyzes the noncommutative Yukawa theory in three dimensions, deriving effective actions, computing one-loop corrections, and examining UV/IR mixing effects on scalar and gauge field dispersion relations.

Contribution

It provides a detailed derivation of effective actions and one-loop corrections in noncommutative Yukawa theory, including the analysis of UV/IR mixing effects.

Findings

Computed one-loop self-energies for scalar fields

Analyzed the Chern-Simons polarization tensor

Explored UV/IR mixing in dispersion relations

Abstract

In this paper, we establish the analysis of noncommutative Yukawa theory, encompassing neutral and charged scalar fields. We approach the analysis by considering carefully the derivation of the respective effective actions. Hence, based on the obtained results, we compute the one-loop contributions to the neutral and charged scalar field self-energy, as well as to the Chern-Simons polarization tensor. In order to properly define the behaviour of the quantum fields, the known UV/IR mixing due to radiative corrections is analysed in the one-loop physical dispersion relation of the scalar and gauge fields.