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

Please welcome our new moderators!

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

122 submissions , 103 unreviewed
3,497 questions , 1,172 unanswered
4,544 answers , 19,342 comments
1,470 users with positive rep
408 active unimported users
More ...

Low-energy gluodynamics as a string

+ 5 like - 0 dislike
7 views

Does anyone know of a (most likely heuristic) derivation of the use of the string sigma model action to model the soft gluonic interactions between color charges? I'm familiar with the classic literature, like 't Hooft's explanation using the dual superconductivity and the chromoelectric flux tube threading the QCD vacuum. But these papers haven't addressed questions that I have in mind. In particular, is there a way to arrive at the tension of the string action from the coupling constant of the underlying Yang-Mills theory?

Edit: So the route that this derivation might take is the following. 't Hooft paints a picture in the large $N_c$ limit with large expansion parameter $\lambda = g^2 N_c$. The interaction between two heavy sources isn't dominated by one gluon exchange but instead by a dense "net" of many, many gluonic excitations interacting with the sources and more importantly with one another. In the $\lambda \gg 1$ limit, the Fock states aren't appropriate and it's not surprising that a very different model (like a string) must be used to describe the physics of this gluonic smear between the color charges. I'm curious to know if there is any way to match the heuristic picture of a dense net of gluons onto the effective string theory, and specifically match the coupling constant of the former onto the string tension of the latter.

This post has been migrated from (A51.SE)
asked Mar 19, 2012 in Theoretical Physics by josh (195 points) [ no revision ]
retagged Mar 7, 2014 by dimension10

1 Answer

+ 2 like - 0 dislike

Look at http://xxx.lanl.gov/abs/hep-th/0406205 for a comprehensive derivation of the string potential and at http://xxx.lanl.gov/abs/hep-lat/0207003 for a relation to Yang-Mills theory.

This post has been migrated from (A51.SE)
answered Mar 20, 2012 by Artan (20 points) [ no revision ]
Yes I am familiar with the excellent work of Luescher and Weisz. This still isn't quite what I have in mind, though. I'll clarify above.

This post has been migrated from (A51.SE)

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
...