A Classical Analogue to the Standard Model, Chapter 2: Colour interactions and fermions from scalar fields on ℂ^{\wedge 6}

2021/08/08 by Pfeifer, R. N. C.
#FOS: Physical sciences #General Physics (physics.gen-ph)

paper · doi:10.48550/arxiv.2108.07719

Abstract

This paper continues the study of quasiparticles on complex manifolds with anticommuting co-ordinates, and shows that on increasing the dimensionality of the complex manifold from ℂ^{\wedge 2} to ℂ^{\wedge 6}, the dimension-L^-1/2 spinor excitations in the associated effective field theory on ℝ^1,3 acquire an SU(3) colour charge and assemble into composite spinors of dimension L^-3/2. This model provides a novel environment in which to study colour confinement, while also demonstrating the ability of the first member of the ℂ^\wedge 6\mathfrakn series to support fermions having spin and dimensions consistent with the Standard Model.

Related

• A Classical Analogue to the Standard Model, Chapter 3: Standard Model particle spectrum from scalar fields on ℂ^{\wedge 18}
• A Classical Analogue to the Standard Model, Chapter 1: Normalisable quasiparticles on a manifold with anticommuting co-ordinates
• Extra Dimensions: Will their Spinors Play a Role in the Standard Model?
• Higher-dimensional routes to the Standard Model fermions
• Spinor fields on the bulk and on compactified dimensions