Feynman geometry
High Energy Physics - Theory
2023-08-09 v1 Mathematical Physics
math.MP
Abstract
In this paper we introduce a notion of Feynman geometry on which quantum field theories could be properly defined. A strong Feynman geometry is a geometry when the vector space of structures is finite dimensional. A weak Feynman geometry is a geometry when the vector space of structures is infinite dimensional while the relevant operators are of trace-class. We construct families of Feynman geometries with "continuum" as their limit.
Cite
@article{arxiv.2308.04027,
title = {Feynman geometry},
author = {Sen Hu and Andrey Losev},
journal= {arXiv preprint arXiv:2308.04027},
year = {2023}
}