A Classical Analogue to the Standard Model, Chapter 2: Colour interactions and fermions from scalar fields on $\mathbb{C}^{\wedge 6}$
Autor: | Pfeifer, R. N. C. |
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Rok vydání: | 2021 |
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Druh dokumentu: | Working Paper |
Popis: | 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 $\mathbb{C}^{\wedge 2}$ to $\mathbb{C}^{\wedge 6}$, the dimension-$L^{-1/2}$ spinor excitations in the associated effective field theory on $\mathbb{R}^{1,3}$ acquire an $\mathrm{SU}(3)$ 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 $\mathbb{C}^{\wedge 6\mathfrak{n}}$ series to support fermions having spin and dimensions consistent with the Standard Model. Comment: 22 pages. Updated to align with revisions to colour sector in Chapters 3-8 |
Databáze: | arXiv |
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