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arXiv · 2308.04027

Feynman geometry

Sen Hu·Andrey Losev
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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 $A_\infty$ structures is finite dimensional. A weak Feynman geometry is a geometry when the vector space of $A_\infty$ structures is infinite dimensional while the relevant operators are of trace-class. We construct families of Feynman geometries with "continuum" as their limit.

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Sen Hu, Andrey Losev. 2023-08-08. Feynman geometry. https://arxiv.org/abs/2308.04027

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