Quantcast
  • Register
PhysicsOverflow is a next-generation academic platform for physicists and astronomers, including a community peer review system and a postgraduate-level discussion forum analogous to MathOverflow.

Welcome to PhysicsOverflow! PhysicsOverflow is an open platform for community peer review and graduate-level Physics discussion.

Please help promote PhysicsOverflow ads elsewhere if you like it.

News

PO is now at the Physics Department of Bielefeld University!

New printer friendly PO pages!

Migration to Bielefeld University was successful!

Please vote for this year's PhysicsOverflow ads!

Please do help out in categorising submissions. Submit a paper to PhysicsOverflow!

... see more

Tools for paper authors

Submit paper
Claim Paper Authorship

Tools for SE users

Search User
Reclaim SE Account
Request Account Merger
Nativise imported posts
Claim post (deleted users)
Import SE post

Users whose questions have been imported from Physics Stack Exchange, Theoretical Physics Stack Exchange, or any other Stack Exchange site are kindly requested to reclaim their account and not to register as a new user.

Public \(\beta\) tools

Report a bug with a feature
Request a new functionality
404 page design
Send feedback

Attributions

(propose a free ad)

Site Statistics

205 submissions , 163 unreviewed
5,047 questions , 2,200 unanswered
5,345 answers , 22,709 comments
1,470 users with positive rep
816 active unimported users
More ...

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

+ 7 like - 0 dislike
4549 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
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
@qftme: Thank you.

This post imported from StackExchange Physics at 2014-03-24 04:52 (UCT), posted by SE-user Américo Tavares
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
@Jose Javier Garcia: Thank you!

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

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
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
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
+ 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
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

Your answer

Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead.
To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL.
Please consult the FAQ for as to how to format your post.
This is the answer box; if you want to write a comment instead, please use the 'add comment' button.
Live preview (may slow down editor)   Preview
Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:
p$\hbar$ysicsOve$\varnothing$flow
Then drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds).
Please complete the anti-spam verification




user contributions licensed under cc by-sa 3.0 with attribution required

Your rights
...