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

157 submissions , 130 unreviewed
4,116 questions , 1,513 unanswered
4,961 answers , 21,168 comments
1,470 users with positive rep
568 active unimported users
More ...

  Baryons as skyrmion solution

+ 3 like - 0 dislike
94 views

Recently I've read in Weinberg QToF Vol. 2 that because of spontaneously symmetry breaking of quark global group $SU_{L}(3)\times SU_{R}(3)$ down to  $SU_{f}(3)$ topological structures called skyrmions arise. Weinberg writes that in some sense baryons may be interpreted as skyrmion solution in purely meson chiral effective theory.

The question: how half-spin state may be solution of EOM for integer spin states (even if it is extended field configuration)? And in which sense baryons are skyrmion solutions?

asked Oct 7, 2015 in Theoretical Physics by NAME_XXX (1,035 points) [ revision history ]
edited Oct 7, 2015 by NAME_XXX

1 Answer

+ 4 like - 0 dislike

This is discussed in detail in a paper by Witten, ''Current algebra, baryons, and quark confinement''.

The fermionic nature of the soliton (defining the skyrmion) is induced by the nontrivial homotopy group.

answered Oct 7, 2015 by Arnold Neumaier (13,189 points) [ no revision ]

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$\hbar$ysics$\varnothing$verflow
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
...