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 ...

  Dimensional regularization and IR divergences and scale invariance

+ 7 like - 0 dislike
3241 views

I want to know if dimensional regularization has any issues if the theory has IR divergences or is scale invariant.

  • Does dimensional regularization see "all" kinds of divergences?

    I mean - what does it exactly mean when one says that power law divergences and IR divergences disappear in the dimensional regularization. So is more regularization needed in general over and above dimensional regularization?

  • Does anything about the divergences get specially constrained if the theory is scale invariant?

    I have often heard it being said that dimensional regularization "preserves" scale invariance.

This post imported from StackExchange Physics at 2014-08-07 15:39 (UCT), posted by SE-user user6818
asked Apr 9, 2013 in Theoretical Physics by user6818 (960 points) [ no revision ]
retagged Aug 7, 2014
so does 'zeta regularization ' :D is an alternative to regularize finit integrals · $\int_{a}^{\infty}x^{m-s} $ for some finite 'a'

This post imported from StackExchange Physics at 2014-08-07 15:39 (UCT), posted by SE-user Jose Javier Garcia
@JoseJavierGarcia Can you kindly expand on your comment? What exactly did you mean?

This post imported from StackExchange Physics at 2014-08-07 15:39 (UCT), posted by SE-user user6818
i meant that we can also use zeta regularization in renormalization :) , the main drawback of dimensional regularization is that it does not work for dimension-dependent quantities

This post imported from StackExchange Physics at 2014-08-07 15:39 (UCT), posted by SE-user Jose Javier Garcia
@Jose Javier Garcia In what precise sense do you mean "does not work"? Can you give some reference which shows how zeta-regularization helps with the RG flow of non-marginal operators?

This post imported from StackExchange Physics at 2014-08-07 15:39 (UCT), posted by SE-user user6818
for zeta regualrization the best book is Elizalde's " ZETA REGULARIZATION TECHNIQUES" , or you have my paper for free :) vixra.org/pdf/1009.0047v4.pdf

This post imported from StackExchange Physics at 2014-08-07 15:39 (UCT), posted by SE-user Jose Javier Garcia
@JoseJavierGarcia Kindly put up your paper on arxiv so that it becomes legitimate to read/cite it!

This post imported from StackExchange Physics at 2014-08-07 15:39 (UCT), posted by SE-user user6818
i have no academic affiliation so they do not let me put papers in arxiv.org anyway you can check the equations :) to see they are corrects

This post imported from StackExchange Physics at 2014-08-07 15:39 (UCT), posted by SE-user Jose Javier Garcia
García, José Javier prespacetime.com/index.php/pst/article/view/498 The Application of Zeta Regularization Method to the Calculation of Certain Divergent Series and Integrals Refined Higgs, CMB from Planck, Departures in Logic, and GR Issues & Solutions vol 4 Nº 3 prespacetime journal prespacetime.com/index.php/pst/issue/view/41/showToc

This post imported from StackExchange Physics at 2014-08-07 15:39 (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$\hbar$y$\varnothing$icsOverflow
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
...