|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
26 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Wilson surface observables from equivariant cohomology | | Anton Alekseev
; Olga Chekeres
; Pavel Mnev
; | | Date: |
22 Jul 2015 | | Abstract: | Wilson lines in gauge theories admit several path integral descriptions. The
first one (due to Alekseev-Faddeev-Shatashvili) uses path integrals over
coadjoint orbits. The second one (due to Diakonov-Petrov) replaces a
1-dimensional path integral with a 2-dimensional topological $sigma$-model. We
show that this $sigma$-model is defined by the equivariant extension of the
Kirillov symplectic form on the coadjoint orbit. This allows to define the
corresponding observable on arbitrary 2-dimensional surfaces, including closed
surfaces. We give a new path integral presentation of Wilson lines in terms of
Poisson $sigma$-models, and we test this presentation in the framework of the
2-dimensional Yang-Mills theory. On a closed surface, our Wilson surface
observable turns out to be nontrivial for $G$ non-simply connected (and trivial
for $G$ simply connected), in particular we study in detail the cases $G=U(1)$
and $G=SO(3)$. | | Source: | arXiv, 1507.6343 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER