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Mathematical Reflections on Locality

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Bibliographic Details
Main Authors: Li, Guo, Sylvie, Paycha, Bin, Zhang
Format: Book
Language:English
Published: Springer 2023
Subjects:
quantum field theory
symmetric binary relations
Online Access:https://link.springer.com/article/10.1365/s13291-023-00268-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7559
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spelling oai:localhost:PNK-75592023-04-05T06:39:29Z Mathematical Reflections on Locality Li, Guo Sylvie, Paycha Bin, Zhang quantum field theory symmetric binary relations CC BY Starting from the principle of locality in quantum field theory, which states that an object is influenced directly only by its immediate surroundings, we review some features of the notion of locality arising in physics and mathematics. We encode these in locality relations, given by symmetric binary relations, and locality morphisms, namely maps that factorise on products of pairs in the graph of such locality relations. This factorisation is a key property in the context of renormalisation, as illustrated on the factorisation of an exponential sum on convex cones, discussed at the end of the paper. 2023-04-05T06:39:29Z 2023-04-05T06:39:29Z 2023 Book https://link.springer.com/article/10.1365/s13291-023-00268-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7559 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic quantum field theory
symmetric binary relations
spellingShingle quantum field theory
symmetric binary relations
Li, Guo
Sylvie, Paycha
Bin, Zhang
Mathematical Reflections on Locality
description CC BY
format Book
author Li, Guo
Sylvie, Paycha
Bin, Zhang
author_facet Li, Guo
Sylvie, Paycha
Bin, Zhang
author_sort Li, Guo
title Mathematical Reflections on Locality
title_short Mathematical Reflections on Locality
title_full Mathematical Reflections on Locality
title_fullStr Mathematical Reflections on Locality
title_full_unstemmed Mathematical Reflections on Locality
title_sort mathematical reflections on locality
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1365/s13291-023-00268-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7559
_version_ 1762365502029561856
score 8.887929

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