One Loop Renormalization of Spontaneously Broken U(2) Gauge Theory on Noncommutative Spacetime

TL;DR

This paper demonstrates that a spontaneously broken U(2) gauge theory on noncommutative spacetime remains renormalizable at one loop, supporting the development of realistic noncommutative gauge models.

Contribution

It provides an explicit one-loop renormalization analysis for a noncommutative U(2) gauge theory with spontaneous symmetry breaking, showing renormalizability similar to the commutative case.

Findings

Ultraviolet divergences are removable at one loop.

Same number of renormalization constants as in commutative spacetime.

Supports feasibility of realistic noncommutative gauge models.

Abstract

We examine the renormalizability problem of spontaneously broken non-Abelian gauge theory on noncommutative spacetime. We show by an explicit analysis of the U(2) case that ultraviolet divergences can be removed at one loop level with the same limited number of renormalization constants as required on commutative spacetime. We thus push forward the efforts towards constructing realistic models of gauge interactions on noncommutative spacetime.