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Results tagged with gauge-theory
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user 7538
Gauge theory in physics and mathematics refers to a field theory whose fields include principal bundles with connection.
34
votes
6
answers
4k
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Is symplectic reduction interesting from a physical point of view?
Do you think that symplectic reduction (Marsden Weinstein reduction) is interesting from a physical point of view? If so, why? Does it give you some new physical insights?
There are some possible ans …
- 1,222
11
votes
4
answers
2k
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Literature for gauge field theory on the lattice in geometrical formulation
I have found an article by Huebschmann, Rudolph and Schmidt about "A Gauge Model for Quantum Mechanics on a Stratified Space" and I am very interested in this subject, but I don't have any background …
1
vote
2
answers
574
views
Reference for some elementary facts about principal bundles
Let $(P,\pi,B,G)$ be a principal bundle with total space $P$, base $B$, projection $\pi$ and structure group $G$.
Now I am searching for a good reference (with proofs) for the following facts:
1) T …
- 1,222
1
vote
module of sections of the horizontal bundle
For those who are interested I give here a slightly more detailed version of Michael's answer.
First note that $T\pi|_{HP} \colon HP \to TB$ is a vector bundle map covering $\pi \colon P \to B$ and a …
- 1,222
1
vote
2
answers
655
views
module of sections of the horizontal bundle
Some times ago I posted this question here. There I carelessly assumed that if you have a set of sections of a vector bundle which span every fiber pointwise, they also generate the module of smooth s …
- 1,222