The discussion centers around identifying relevant mathematics and mathematical physics courses necessary for studying quantum field theory and statistical field theory. Participants share resources and suggest specific topics that may be important for understanding these advanced theories.
There appears to be some agreement on the importance of Hilbert spaces and group theory, but the discussion does not reach a consensus on a comprehensive list of courses or topics.
The discussion lacks detailed exploration of specific mathematical courses beyond the mention of Hilbert spaces and group theory. There are also no clarifications on the depth or level of understanding required for these topics.
I would say that, first of all, you need to learn about Hilbert spaces and group theoryPispi Choudhury said:Summary:: What are the relevant mathematics/ mathematical physics courses for studying quantum field theory and statistical field theory?
I'm a physics undergraduate currently in my junior(third) year, thanks.
Thank you so much !jedishrfu said:Quora has a list for you:
https://www.quora.com/What-are-the-...s-for-quantum-field-theory-in-ascending-order
and Stack has a similar list:
https://physics.stackexchange.com/questions/147024/what-kind-of-math-is-used-in-qft
Thank you !Gaussian97 said:I would say that, first of all, you need to learn about Hilbert spaces and group theory