Photon-neutrino interaction in theta-exact covariant noncommutative field theory

TL;DR

This paper derives exact expressions for photon-neutrino interactions in a noncommutative field theory framework, enabling comprehensive phenomenological analysis across all energy scales.

Contribution

It introduces a theta-exact, covariant approach to noncommutative gauge theory, removing low-energy restrictions and broadening potential applications.

Findings

Implications for plasmon decay and neutrino charge radii.

Constraints on noncommutative energy scale Lambda_NC.

Consistency of results across all energy regimes.

Abstract

Photon-neutrino interactions arise quite naturally in noncommutative field theories. Such couplings are absent in ordinary field theory and imply experimental lower bounds on the energy scale Lambda_NC ~ 1/|theta|^2 of noncommutativity. Using non-perturbative methods and a Seiberg-Witten map based covariant approach to noncommutative gauge theory, we obtain theta-exact expressions for the interactions, thereby eliminating previous restrictions to low-energy phenomena. We discuss implications for plasmon decay, neutrino charge radii, big bang nucleosynthesis and ultrahigh energy cosmic rays. Our results behave reasonably throughout all interaction energy scales, thus facilitating further phenomenological applications.