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  Are there books on Regularization and Renormalization in QFT at an Introductory level?

+ 7 like - 0 dislike
5896 views

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.


This post imported from StackExchange Physics at 2014-03-24 04:52 (UCT), posted by SE-user Américo Tavares

asked Jul 17, 2011 in Theoretical Physics by Américo Tavares (35 points) [ revision history ]
retagged Mar 25, 2014 by dimension10
Most voted comments show all comments
@Marek: Many thanks for your explanation. I restricted the question to regularization and didn't add renormalization because may idea was to start with regularization and only learn renormalization later. But I am not sure whether that is feasible. From your comment I understand that regularization cannot be learnt without Physics. Perhaps the better is to migrate this question (on regularization) to math.SE.

This post imported from StackExchange Physics at 2014-03-24 04:52 (UCT), posted by SE-user Américo Tavares
commented Jul 18, 2011 by Américo Tavares (35 points) [ no revision ]
There was a recent blog post about these issues that you might find useful, it's here: motls.blogspot.com/2011/07/…

This post imported from StackExchange Physics at 2014-03-24 04:52 (UCT), posted by SE-user qftme
commented Jul 18, 2011 by qftme (0 points) [ no revision ]
@qftme: Thank you.

This post imported from StackExchange Physics at 2014-03-24 04:52 (UCT), posted by SE-user Américo Tavares
commented Jul 18, 2011 by Américo Tavares (35 points) [ no revision ]
you can try Elizalde's book on ZETA REGULARIZATION but the best of the best is Hardy's book 'divergent series' and is freely avaliable online to download it , i strongly recommend this one :)

This post imported from StackExchange Physics at 2014-03-24 04:52 (UCT), posted by SE-user Jose Javier Garcia
commented Jul 20, 2011 by Jose Javier Garcia (70 points) [ no revision ]
@Jose Javier Garcia: Thank you!

This post imported from StackExchange Physics at 2014-03-24 04:52 (UCT), posted by SE-user Américo Tavares
commented Jul 20, 2011 by Américo Tavares (35 points) [ no revision ]
Most recent comments show all comments
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.

This post imported from StackExchange Physics at 2014-03-24 04:52 (UCT), posted by SE-user David Z
commented Jul 18, 2011 by David Z (660 points) [ no revision ]
@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.

This post imported from StackExchange Physics at 2014-03-24 04:52 (UCT), posted by SE-user Américo Tavares
commented Jul 18, 2011 by Américo Tavares (35 points) [ no revision ]

2 Answers

+ 7 like - 0 dislike

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

Revo

This post imported from StackExchange Physics at 2014-03-24 04:52 (UCT), posted by SE-user Revo
answered Aug 7, 2011 by Revo (260 points) [ no revision ]
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.

This post imported from StackExchange Physics at 2014-03-24 04:52 (UCT), posted by SE-user Américo Tavares
commented Aug 7, 2011 by Américo Tavares (35 points) [ no revision ]
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 hep.wisc.edu/cteq11/lectures/Olness_DimReg.pdf

This post imported from StackExchange Physics at 2014-03-24 04:52 (UCT), posted by SE-user Revo
commented Aug 7, 2011 by Revo (260 points) [ no revision ]
Hadn't seen it before, but that note from the Berkeley QFT class is outstanding!

This post imported from StackExchange Physics at 2014-03-24 04:52 (UCT), posted by SE-user Gerben
commented Aug 8, 2011 by Gerben (0 points) [ no revision ]
+ 1 like - 0 dislike

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

This post imported from StackExchange Physics at 2014-03-24 04:52 (UCT), posted by SE-user Arnold Neumaier
answered Mar 15, 2012 by Arnold Neumaier (15,787 points) [ no revision ]
Thanks! I will see it.

This post imported from StackExchange Physics at 2014-03-24 04:52 (UCT), posted by SE-user Américo Tavares
commented Mar 25, 2012 by Américo Tavares (35 points) [ no revision ]
vixra.org/abs/1003.0235 my paper on zeta regularization and resummation to obtain finite results for integrals.

This post imported from StackExchange Physics at 2014-03-24 04:52 (UCT), posted by SE-user Jose Javier Garcia
commented May 27, 2013 by Jose Javier Garcia (70 points) [ no revision ]

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