Non-local Field Theory from Matrix Models
High Energy Physics - Theory
2022-06-28 v1
Abstract
We show that a class of matrix theories can be understood as an extension of quantum field theory which has non-local interactions. This reformulation is based on the Wigner-Weyl transformation, and the interactions take the form of Moyal product on a doubled geometry. We recover local dynamics on the spacetime as a low-energy limit. This framework opens up the possibility for studying novel high-energy phenomena, including the unification of gauge and geometric symmetries in a gauge theory.
Cite
@article{arxiv.2206.13458,
title = {Non-local Field Theory from Matrix Models},
author = {Andrzej Banburski and Jaron Lanier and Vasudev Shyam and Lee Smolin and Yigit Yargic},
journal= {arXiv preprint arXiv:2206.13458},
year = {2022}
}
Comments
24 pages