Lorentzian bordisms in algebraic quantum field theory
Bunk, Severin, Schenkel, Alexander and MacManus, James
(2025)
Lorentzian bordisms in algebraic quantum field theory.
Letters in Mathematical Physics, 115 (1): 16.
pp. 1-43.
ISSN 0377-9017
It is shown that every algebraic quantum field theory has an underlying functorial field theory which is defined on a suitable globally hyperbolic Lorentzian bordism pseudo-category. This means that globally hyperbolic Lorentzian bordisms between Cauchy surfaces arise naturally in the context of algebraic quantum field theory. The underlying functorial field theory encodes the time evolution of the original theory, but not its spatially local structure. As an illustrative application of these results, the algebraic and functorial descriptions of a free scalar quantum field are compared in detail.
Item Type | Article |
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Additional information | © 2025 The Author(s). This is an open access article distributed under the Creative Commons Attribution License (CC BY), https://creativecommons.org/licenses/by/4.0/ |
Keywords | 18n10, 53c50, 81txx, algebraic quantum field theory, bordisms, functorial field theory, lorentzian geometry, pseudo-categories |
Date Deposited | 15 May 2025 15:50 |
Last Modified | 31 May 2025 00:47 |