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

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

145 submissions , 122 unreviewed
3,930 questions , 1,398 unanswered
4,852 answers , 20,624 comments
1,470 users with positive rep
501 active unimported users
More ...

Is renormalization prescription and renormalization scheme the same thing?

+ 6 like - 0 dislike
270 views

Renormalization group functions are different but related under different renormalization schemes, for example between CW scheme and MS scheme.

There is also a special chapter 'Renormalization-prescription dependence' in John. C. Collins's book about renormalization.

Is renormalization prescription and renormalization scheme the same thing?

asked May 31, 2014 in Theoretical Physics by coolcty (125 points) [ no revision ]
Good question, coming more from a Wilsonion EFT and RG flow point of view, these term that go along with the subtraction business confuse me too, in fact it reminds me that I wanted to ask a question about the differences between the two methods i... I always thought that the prescription is the higher energy initial condition one starts with to calculate lower energy quantities by using a certain course-graining method called a renormalization scheme.

@Dilaton Why didn't you make the last part an answer? 

@dilaton could you make this into an answer?

Yes, but later when I have my laptop available and I also want to take the time to properly extend the relevant part of the comment a bit ...

1 Answer

+ 7 like - 0 dislike

This is a semantic question. 

A renormalization scheme is nothing more than a renormalization procedure. For example, Minimal Subtraction and momentum-space subtraction (subtraction for given values of Mandelstam variables) are examples of different renormalization schemes. 

Renormalization prescriptions are often used to distinguish between two different subtractions points in momentum space (two sets of Mandelstam variables) within momentum-space subtraction. For example, one can sometimes make use of a prescription such that the renormalized mass is equal to the physical mass (on-shell prescription) whereas for other problems subtracting a diagram at $p=0$ can be more convenient. One can think of different prescriptions as different initial conditions.

answered Jun 1, 2014 by drake (885 points) [ revision history ]
edited Jun 1, 2014 by drake

If the renormalized mass is equal to the physical mass (on-shell prescription), then it is clear that the real (physical) mass belongs to an interacting electron, not to a free one - because you take the interaction into account. Free is the resulting compound system - a "dressed" electron, right? Isn't it like a "dressed" nucleus in atom?

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).
To avoid this verification in future, please log in or register.




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

Your rights
...