A Classical Analogue to the Standard Model, Chapter 1: Normalisable quasiparticles on a manifold with anticommuting co-ordinates
| Autor: | Pfeifer, R. N. C. |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | Quasiparticles and analog models are ubiquitous in the study of physical systems. Little has been written about quasiparticles on manifolds with anticommuting co-ordinates, yet they are capable of emulating a surprising range of physical phenomena. This paper introduces a classical model of free fields on a manifold with anticommuting co-ordinates, identifies the region of superspace which the model inhabits, and shows that the model emulates the behaviour of a five-species interacting quantum field theory on $\mathbb{R}^{1,3}$. The Lagrangian of this model arises entirely from the anticommutation property of the manifold co-ordinates. This is part one of a series, which continues in arXiv:2108.07719 and arXiv:0805.3819, and concludes in arXiv:2008.05893 with a first-principles calculation of the value of the gravitational constant in the classical analogue model. Comment: 58 pages, 1 figure. Updated Overview (including numerical results) and cross-references to align with revisions to Chapters 3-8 |
| Databáze: | arXiv |
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