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 |
|---|---|
| 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 |
