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I am an undergrad interested in HEP-Th. I have studied canonical quantization, and path integral approach for quantizing fields, and the EM field quantization, classical yang-mills theory. I want to learn RG, especially for its utility in HEP. What are the topics that I should learn to get to it, and could you suggest parts of a reference. I know that Peskin and Schroeder is the canonical reference, but I don't know where to start and what is necessary. There seems to be a lot of chapters before I can start RG: radiative corrections (chapter 6 and 7?), systematics (chpt 10), symmetry (11).

How is it organized and what should I read?

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Before answering, please see our policy on resource recommendation questions. Please write substantial answers that detail the style, content, and prerequisites of the book, paper or other resource. Explain the nature of the resource so that readers can decide which one is best suited for them rather than relying on the opinions of others. Answers containing only a reference to a book or paper will be removed!

If you just wish to understand the concept of Wilsonian RG in field theory then Mehran Kardar's Vol2: Statistical physics of fields might be a good resource. The easiest computation is the renormalization (scale dependence) of the quartic coupling in the $\phi^4$ theory. Wilsonian RG is slightly different from what is called "renormalization" and is common in HEP (at least in older textbooks). I am not aware of a good pedagogical reference relating the two perspectives.

Note that you should be able to compute loop amplitudes, in order to calculate any of these these effects. If you're comfortable with that, you might be able to have a go at Sec. 10.1,2 of Peskin & Schroeder. You might also like A. Zee's book: QFT in a nutshell which I will generally recommend as a nice read on QFT.

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