Gauge Interactions and a Quantum Avatar in a Model with Light Cone Reflection Symmetry

TL;DR

This paper develops a neutrino model with Light Cone Reflection symmetry, introduces gauge interactions for physical modes, and constructs a two-dimensional avatar that reproduces the original theory's spectrum, discussing its quantization.

Contribution

It introduces gauge interactions in a neutrino model with Light Cone Reflection symmetry and constructs a two-dimensional avatar to replicate the original theory's spectrum.

Findings

Gauge interactions involve only physical modes.

The two-dimensional avatar reproduces the spectrum of the four-dimensional theory.

Discussion on the quantization of the avatar.

Abstract

We continue the development of a model of neutrinos that possesses a new symmetry, Light Cone Reflection, interchanging spacelike and timelike intervals. In this paper we introduce gauge interactions in which only the physical modes of the theory participate. We also find an avatar of the theory, involving spinors in two-dimensions that obey equations reproducing the spectrum of the original, four-dimensional theory, and we discuss the quantization of the avatar.