Feynman geometry
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 $A_\infty$ s...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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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| DOI: | 10.48550/arxiv.2308.04027 |