Quantum Electrodynamics on Noncommutative Spacetime

TL;DR

This paper introduces a new quantization method for gauge theories on noncommutative spacetime, demonstrating renormalizability and calculating key quantum corrections, aligning with results from standard QED.

Contribution

It presents a novel approach to quantize gauge theories on noncommutative spacetime using enveloping algebra fields, establishing renormalizability at one loop.

Findings

Theory is renormalizable at one loop

Beta function computed and analyzed

Spin-dependent anomalous magnetic moment matches commutative QED

Abstract

We propose a new method to quantize gauge theories formulated on a canonical noncommutative spacetime with fields and gauge transformations taken in the enveloping algebra. We show that the theory is renormalizable at one loop and compute the beta function and show that the spin dependent contribution to the anomalous magnetic moment of the fermion at one loop has the same value as in the commutative quantum electrodynamics case.