Mathematical Reflections on Locality
CC BY
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Springer
2023
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Truy cập trực tuyến: | https://link.springer.com/article/10.1365/s13291-023-00268-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7559 |
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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 |
8.891145 |