Noncommutative field with constant background fields and neutral fermion

TL;DR

This paper explores how constant background fields in noncommutative gauge theories affect fermion behavior, leading to Lorentz violation and potential neutrino oscillation modifications, with implications for experimental constraints on noncommutative parameters.

Contribution

It introduces a Hermitian fermion Lagrangian with Lorentz violation and generalizes to deformed noncommutation relations, analyzing neutrino oscillations and experimental bounds.

Findings

Lorentz violation term in fermion Lagrangian identified

Deformed noncommutation relations affect neutrino oscillations

Constraints on noncommutative coefficients derived from experimental data

Abstract

Introducing constant background fields into the noncommutative gauge theory, we first obtain a Hermitian fermion Lagrangian which involves a Lorentz violation term, then we generalize it to a new deformed canonical noncommutation relations for fermion field. Massless neutrino oscillation in the deformed canonical noncommutation relations is analyzed. The restriction of the noncommutative coefficients is also discussed. By comparing with the existing experimental data of conventional neutrino oscillations, the order of noncommutative deformed coefficients is given from different ways.