Octonion Quantum Chromodynamics

TL;DR

This paper explores reformulating quantum chromodynamics using octonion algebra, revealing potential explanations for strong interactions and suggesting quarks may behave as dyons with dual gauge fields.

Contribution

It establishes a novel connection between octonion algebra and SU(3) symmetry, proposing a non-associative framework for QCD and introducing the idea of quarks as dyons.

Findings

Reformulation of QCD using octonions aligns with SU(3) symmetry.

Identification of two gauge fields linked to electric charge and magnetic monopoles.

Support for the dyonic nature of colored quarks.

Abstract

Starting with the usual definitions of octonions, an attempt has been made to establish the relations between octonion basis elements and Gell-Mann \lambda matrices of SU(3)symmetry on comparing the multiplication tables for Gell-Mann \lambda matrices of SU(3)symmetry and octonion basis elements. Consequently, the quantum chromo dynamics (QCD) has been reformulated and it is shown that the theory of strong interactions could be explained better in terms of non-associative octonion algebra. Further, the octonion automorphism group SU(3) has been suitably handled with split basis of octonion algebra showing that the SU(3)_{C}gauge theory of colored quarks carries two real gauge fields which are responsible for the existence of two gauge potentials respectively associated with electric charge and magnetic monopole and supports well the idea that the colored quarks are dyons.