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Positive Energy Representations Of Gauge Groups I: Localization - charlie - 17-12-2025
[center]
![[Obrazek: f511fcd6c2034ad3af7f3e525cd449e8.avif]](https://i126.fastpic.org/big/2025/1217/e8/f511fcd6c2034ad3af7f3e525cd449e8.avif)
English | 2024 | ISBN: 3985470677 | 158 Pages | PDF | 0.98 MB [/center]
This is the first in a series of papers on projective positive energy representations of gauge groups. Let $\Xi \rightarrow M$ be a principal fiber bundle, and let $\Gamma_{C}(M,\mathrm{Ad}(\Xi))$ be the group of compactly supported (local) gauge transformations. If $P$ is a group of "space-time symmetries" acting on $\Xi \rightarrow M$, then a projective unitary representation of $\Gamma_{C}(M,\mathrm{Ad}(\Xi))\rtimes P$ is of positive energy if every "timelike generator" $p_{0} \in p$ gives rise to a Hamiltonian $H(p_{0})$ whose spectrum is bounded from below.
Cytat:https://rapidgator.net/file/5d70b985fc312350bf55591653609217/Positive_Energy_Representations_of_Gauge_Groups_I_Localization.pdf.html
https://upzur.com/p88mspwbm5oj/Positive_Energy_Representations_of_Gauge_Groups_I_Localization.pdf.html