A Classical Analogue to the Standard Model, Chapter 1: Normalisable quasiparticles on a manifold with anticommuting co-ordinates

2021/05/24 by Pfeifer, R. N. C.
#FOS: Physical sciences #General Physics (physics.gen-ph) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2106.08130

Abstract

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 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.

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