A Classical Analogue to the Standard Model, Chapter 3: Standard Model particle spectrum from scalar fields on $\mathbb{C}^{\wedge 18}$
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arXiv
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| Format: | Preprint |
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2008
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| _version_ | 1866913181183508480 |
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| author | Pfeifer, R. N. C. |
| author_facet | Pfeifer, R. N. C. |
| contents | The $\mathbb{C}^{\wedge 2\mathfrak{n}}$ models are analogue models which generate Lagrangians for quasiparticles on $\mathbb{R}^{1,3}$ from antisymmetric vector products on Grassmann manifolds. This paper introduces $\mathbb{C}^{\wedge 18}$, the smallest member of this series which is capable of hosting a quasiparticle spectrum analogous to the Standard Model. Once all gaugeable degrees of freedom have been fixed, the particle spectrum of $\mathbb{C}^{\wedge 18}$ is seen to resemble the Standard Model plus two additional weakly interacting bosons and a ninth gluon. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_0805_3819 |
| institution | arXiv |
| publishDate | 2008 |
| record_format | arxiv |
| spellingShingle | A Classical Analogue to the Standard Model, Chapter 3: Standard Model particle spectrum from scalar fields on $\mathbb{C}^{\wedge 18}$ Pfeifer, R. N. C. General Physics The $\mathbb{C}^{\wedge 2\mathfrak{n}}$ models are analogue models which generate Lagrangians for quasiparticles on $\mathbb{R}^{1,3}$ from antisymmetric vector products on Grassmann manifolds. This paper introduces $\mathbb{C}^{\wedge 18}$, the smallest member of this series which is capable of hosting a quasiparticle spectrum analogous to the Standard Model. Once all gaugeable degrees of freedom have been fixed, the particle spectrum of $\mathbb{C}^{\wedge 18}$ is seen to resemble the Standard Model plus two additional weakly interacting bosons and a ninth gluon. |
| title | A Classical Analogue to the Standard Model, Chapter 3: Standard Model particle spectrum from scalar fields on $\mathbb{C}^{\wedge 18}$ |
| topic | General Physics |
| url | https://arxiv.org/abs/0805.3819 |