A dynamical Yukawa₂ model
File(s)
Published version
Author(s)
Chandra, Ajay
Hairer, Martin
Peev, Martin
Type
Journal Article
Abstract
We prove local (in space and time) well-posedness for a mildly regularised version of the stochastic quantisation of the Yukawa Euclidean field theory with a self-interacting boson. Our regularised dynamic is still singular but avoids non-local divergences, allowing us to use a version of the Da Prato–Debussche argument (Da Prato and Debussche in Ann Probab 31(4):1900–1916, 2003. https://doi.org/10.1214/aop/1068646370). This model is a test case for a non-commutative probability framework for formulating the kind of singular SPDEs arising in the stochastic quantisation of field theories mixing both bosons and fermions.
Date Issued
2025-01-01
Date Acceptance
2024-09-04
Citation
Communications in Mathematical Physics, 2025, 406 (1)
ISSN
0010-3616
Publisher
Springer
Journal / Book Title
Communications in Mathematical Physics
Volume
406
Issue
1
Copyright Statement
© The Author(s) 2024. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
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Subjects
0101 Pure Mathematics
0105 Mathematical Physics
0206 Quantum Physics
Mathematical Physics
Publication Status
Published
Article Number
2
Date Publish Online
2024-12-09