Tetrads in low-energy weak interactions

TL;DR

This paper introduces tetrads to connect spacetime gauge states with particle interactions in low-energy weak processes, demonstrating how tetrad transformations relate to SU(2) gauge symmetry in quantum field theory.

Contribution

It establishes a novel link between tetrad gauge states of spacetime and particle interactions, specifically in weak processes, using explicit examples and showing their relation via SU(2) transformations.

Findings

Tetrads can be assigned to vertices in weak interaction diagrams.

Tetrad relationships are generated by SU(2) local gauge transformations.

A direct link between gauge and tetrad states is demonstrated.

Abstract

Tetrads are introduced in order to study the relationship between tetrad gauge states of spacetime and particle interactions, specially in weak processes at low energy. Through several examples like inverse Muon decay, elastic Neutrino-Electron scattering, it is explicitly shown how to assign to each vertex of the corresponding low-order Feynman diagram in a weak interaction, a particular set of tetrad vectors. The relationship between the tetrads associated to different vertices is exhibited explicitly to be generated by a SU(2) local tetrad gauge transformation. We are establishing a direct link between standard gauge and tetrad gauge states of spacetime using the quantum field theories perturbative formulations.