Gauge group SU(5) coupled to a scalar field

Click For Summary
SUMMARY

The discussion centers on the need for the 24 generators of the gauge group SU(5) in the context of a gauge theory coupled to a scalar field for a project in elementary particle physics. The user has experience with SU(3) but requires specific matrices for SU(5) to analyze the effects of a non-zero vacuum expectation value on gauge bosons. A helpful resource was identified, providing the necessary matrices at a specified URL.

PREREQUISITES
  • Understanding of gauge theories in particle physics
  • Familiarity with the gauge group SU(5)
  • Knowledge of scalar fields and their vacuum expectation values
  • Basic skills in matrix algebra and representation theory
NEXT STEPS
  • Research the properties and applications of SU(5) in particle physics
  • Learn about the role of vacuum expectation values in gauge theories
  • Explore matrix representations of Lie groups, specifically SU(5)
  • Investigate computational tools for generating Lie algebra generators, such as Mathematica
USEFUL FOR

This discussion is beneficial for physicists, particularly those specializing in particle physics, gauge theories, and anyone involved in theoretical research requiring an understanding of SU(5) and its implications in the field.

Henk
Messages
22
Reaction score
0
1. For a project on elementary particle physics I have to consider a gauge theory with the gauge group SU(5) coupled to a scalar field.

I am to use a certain non-zero vacuum expectation value for the scalar field and check what happens to the gauge bosons.

I have already done this for SU(3) and I think I know how to do to it however I need to know the 24 generators of SU(5). The problem is that I can't seem to find them. In principle I could solve them by hand but it is a tremendous amount of work and I don't have Mathematica acces at the moment.

Does anybody know a website where I can find these matrices?

Thanks a lot in advance!
 
Physics news on Phys.org
Henk said:
1. For a project on elementary particle physics I have to consider a gauge theory with the gauge group SU(5) coupled to a scalar field.

I am to use a certain non-zero vacuum expectation value for the scalar field and check what happens to the gauge bosons.

I have already done this for SU(3) and I think I know how to do to it however I need to know the 24 generators of SU(5). The problem is that I can't seem to find them. In principle I could solve them by hand but it is a tremendous amount of work and I don't have Mathematica acces at the moment.

Does anybody know a website where I can find these matrices?

Thanks a lot in advance!

It looks like they are here:
http://www.geocities.com/jefferywinkler/beyondstandardmodel.html
Good luck with your project!


nonplus
 

Similar threads

Undergrad Classical Field Theory - Something isn't clicking
  • · Replies 12 ·
Replies
12
Views
2K
Graduate New ideas on confinement and meson masses from Brazil
  • · Replies 4 ·
Replies
4
Views
3K
Finding a scalar field given two gauge fields
  • · Replies 2 ·
Replies
2
Views
1K
What Is the Issue with Scalar Loop Corrections in Non-Abelian SU(N) Theories?
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Hidden symmetries in subgroups of Lie groups?
  • · Replies 1 ·
Replies
1
Views
3K
Graduate How Does Gauge Invariance Shape Classical Yang-Mills Theory with Scalar Fields?
  • · Replies 1 ·
Replies
1
Views
2K
SU(3) octet scalar quartic interactions
  • · Replies 1 ·
Replies
1
Views
2K
Model with SU(2) gauge symmetry and SO(3) global symmetry
  • · Replies 1 ·
Replies
1
Views
3K
Finding Cartan Subalgebras for Matrix Algebras
  • · Replies 1 ·
Replies
1
Views
2K
Lie Bracket for Group Elements of SU(3)
  • · Replies 2 ·
Replies
2
Views
2K