Yang Mills & Fiber Bundles Resource

AI Thread Summary
The discussion centers on finding intuitive resources for learning Yang-Mills theory and fiber bundles, with a focus on achieving a geometric understanding of gauge theory. Participants express a common challenge in finding materials that are both accessible and comprehensive. Recommendations include a book with strong visuals, although it covers broader topics beyond Yang-Mills and fiber bundles. Nakahara’s "Geometry, Topology & Physics" is highlighted as a popular choice for learning differential geometry, while Fecko's "Differential Geometry and Lie Groups for Physicists" is also mentioned positively. A recently discovered book is noted for potentially covering essential mathematical foundations often missing in standard quantum field theory texts, though its effectiveness remains untested by the user. Overall, the quest for intuitive learning resources in this complex field is a shared concern among participants.
quickAndLucky
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Hi everyone,
Does anyone know of a good intuitive resource for learning Yang-Mills theory and Fiber Bundles? Ultimately my goal is to gain a geometric understanding of gauge theory generally. I have been studying differential forms and exterior calculus. Thanks!
 
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I know several resources for this topic, but I don't find any of them particularly intuitive. So I will wait to see what will the others recommend.
 
Demystifier said:
I know several resources for this topic, but I don't find any of them particularly intuitive. So I will wait to see what will the others recommend.
Nobody else seems to have anything in mind. Would appreciate hearing what you have used!
 
quickAndLucky said:
Nobody else seems to have anything in mind. Would appreciate hearing what you have used!
I'm interested in the answers, as well, especially because of the intuition requirement. My own intuition ends with the imagination of a field of wheat. And from there to the technical details is a long, long way.
 
Nakahara’s Geometry, Topology & Physics is a popular choice. I started learning differential geometry from it.
 
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I'ver recently found

https://www.amazon.com/dp/3319684388/?tag=pfamazon01-20

I've not read much in the book yet. So I can't say, whether it's good or not, but it seems to cover a lot of the mathematical foundations, usually not found in standard QFT textbooks for physicists, and it's written in the Mathematicians' dry style ;-)).
 
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