The Stack of Yang-Mills Fields on Lorentzian Manifolds
- We provide an abstract definition and an explicit construction of the stack of non-Abelian Yang-Mills fields on globally hyperbolic Lorentzian manifolds. We also formulate a stacky version of the Yang-Mills Cauchy problem and show that its well-posedness is equivalent to a whole family of parametrized PDE problems. Our work is based on the homotopy theoretical approach to stacks proposed in Hollander (Isr. J. Math. 163:93-124, 2008), which we shall extend by further constructions that are relevant for our purposes. In particular, we will clarify the concretification of mapping stacks to classifying stacks such as BG (con).
Author details: | Marco BeniniORCiDGND, Alexander SchenkelORCiD, Urs SchreiberORCiD |
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DOI: | https://doi.org/10.1007/s00220-018-3120-1 |
ISSN: | 0010-3616 |
ISSN: | 1432-0916 |
Title of parent work (English): | Communications in mathematical physics |
Publisher: | Springer |
Place of publishing: | New York |
Publication type: | Article |
Language: | English |
Date of first publication: | 2018/03/21 |
Publication year: | 2018 |
Release date: | 2021/12/17 |
Volume: | 359 |
Issue: | 2 |
Number of pages: | 56 |
First page: | 765 |
Last Page: | 820 |
Funding institution: | Alexander von Humboldt Foundation (Germany); Alexander von Humboldt Foundation; Royal Society (UK) through a Royal Society University Research Fellowship, a Research Grant and an Enhancement Award; [RVO:67985840] |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Peer review: | Referiert |
Publishing method: | Open Access / Hybrid Open-Access |
License (German): | CC-BY - Namensnennung 4.0 International |