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arXiv · 2201.04183

A Cubic Matrix Action for the Standard Model and Beyond

Yigit Yargic·Jaron Lanier·Lee Smolin·Dave Wecker
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Abstract

We propose a new framework for matrix theories that are equivalent to field theories on a toroidal spacetime. The correspondence is accomplished via infinite Toeplitz matrices whose entries match the field degrees of freedom on an energy-momentum lattice, thereby replacing the background geometry with matrix indices. These matrix theories can then be embedded into the purely cubic action of a single matrix and combined into a common universality class. We reconstruct the Standard Model action in this framework and discuss its extensions within the same class.

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Yigit Yargic, Jaron Lanier, Lee Smolin, Dave Wecker. 2022-01-11. A Cubic Matrix Action for the Standard Model and Beyond. https://arxiv.org/abs/2201.04183

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