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Are there books on Regularization and Renormalization, in the context of quantum field theory at an Introductory level? Could you suggest one?

Added: I posted at math.SE the question Reference request: Introduction to mathematical theory of Regularization and accepted this answer by Willie Wong.

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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!

What does introductory mean? Regularization (as a physical procedure) is quite useless without context. The context being quantum field theory, scattering processes and some familiarity with particle physics (certainly at least QED). Also, what about the wikipedia article? It mentions all the standard regularizations (dimensional and zeta, Pauli-Villars, lattice, momentum cutoff) and even some less standard ones. – Marek Jul 18 '11 at 1:00
I've made this community wiki in keeping with out practice for requests for list of books and papers. That said, I can't find a meta question in which we settled that: it seems to be something that David, mbq, and I have just been doing. Maybe we discussed in on the moderator chat? – dmckee Jul 18 '11 at 1:58
I don't remember us discussing it specifically, but it's just general Stack Exchange practice to wikify questions which don't have a single correct answer. Most questions about books and papers are of this sort ("What is a good book/paper about X"), but I think I've seen a couple questions here that ask about a very specific paper, and those would not be CW material. – David Z Jul 18 '11 at 3:27
@Marek: I know nothing about this technique and thought that it could be learnt without context. So, I will restrict the scope of my question to quantum field theory. @ dmckee: CW is fine. – Américo Tavares Jul 18 '11 at 8:24
@Américo: well, there of course is a mathematical theory of regularization (Cesaro, Borel, Ramanujan summations and many others) that is interesting per se but I suppose you'd be better off asking about those things at math.SE. When it comes to physics, the regularization isn't very useful by itself when not accompanied by renormalization. Regularization just tells you how to control singularities by introducing some additional parameter but it doesn't tell you what to do with them (indeed, there is often nothing one can do rigorously, so one proceeds in an intuitive physical fashion). – Marek Jul 18 '11 at 10:09
up vote 10 down vote accepted

Check out the following 3 articles and 2 books:

  1. Regularization Renormalization and Dimensional Analysis: Dimensional Regularization meets Freshman E&M Published in the american journal of physics (can be found also on hep-ph, but slightly different with less references)
  2. Regularization, from Murayama's course of QFT at Berkeley
  3. A Hint of Renormalization
  4. A more general detailed, still introductory, treatment including renormalization would be the book Renormalization Methods: A Guide For Beginners
  5. A. Zee's book QFT in a Nutshell

Anyway, I hope that was useful


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Thanks! It is useful indeed. I think the example of the infinite line of charge in the 1st article is a good starting point for me (as a retired electrical engineer) to learn with time this subject. – Américo Tavares Aug 7 '11 at 21:18
I have updated the 1st link, please recheck it, also here is another link for the same article which looks like slides for a talk – Revo Aug 7 '11 at 21:34
Hadn't seen it before, but that note from the Berkeley QFT class is outstanding! – Gerben Aug 8 '11 at 13:50

See also my tutorial paper Renormalization without infinities - a tutorial, which discusses renormalization on a much simpler level than quantum field theory.

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Thanks! I will see it. – Américo Tavares Mar 26 '12 at 1:29
1 my paper on zeta regularization and resummation to obtain finite results for integrals. – Jose Javier Garcia May 27 '13 at 17:14
@JoseJavierGarcia Thanks for the link to your paper! I have seen your comment now. – Américo Tavares May 1 '15 at 22:41

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