Study of the photon's pole structure in the noncommutative Schwinger model

TL;DR

This paper investigates the photon self-energy in the noncommutative Schwinger model, demonstrating that the photon mass spectrum remains unaffected by noncommutativity at two- and three-loop orders and to all orders.

Contribution

It provides a detailed analysis of the photon pole structure and shows the invariance of the mass spectrum under noncommutative effects at multiple loop levels.

Findings

Photon mass spectrum is unchanged at two- and three-loop orders.

Noncommutativity parameter $ heta$ does not affect the photon mass spectrum.

Exact one-loop effective action for the photon is derived.

Abstract

The photon self-energy of the noncommutative Schwinger model at two- and three-loop order is analyzed. It is shown that the mass spectrum of the model does not receive any correction from noncommutativity parameter ($\theta$) at these orders. Also it remains unchanged to all orders. The exact one-loop effective action for the photon is also calculated.