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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.

6 votes
1 answer
2k views

Transferring connection information to associated bundles and back

This might not be research level but I've tried more than once to ask about this in MSE and it got nowhere. So I thought It's fair to at least try. At the risk of repeating well known stuff I tried t …
Saal Hardali's user avatar
  • 7,799
18 votes
3 answers
4k views

What is an "Instanton" in classical gauge theory? (to a mathematician)

There's already a question about the same topic but I think its aim is different. Classical (non-quantum) gauge theory is a completely rigorous mathematical theory. It can be phrased in completely di …
Saal Hardali's user avatar
  • 7,799
23 votes
4 answers
2k views

What is an "integrable hierarchy"? (to a mathematician)

This is one of those "what is an $X$?" questions so let me apologize in advance. By now I have already encountered the phrase "integrable hierarchy" in mathematical contexts (in particular the so cal …
Saal Hardali's user avatar
  • 7,799