How does gauge bundle breaking occur in Yang-Mills theory with SU(5)?

Click For Summary
SUMMARY

The discussion focuses on the breaking of gauge bundles in Yang-Mills theory, specifically with the gauge group SU(5). When a U(1) gauge bundle is introduced, it leads to a breakdown of the original SU(5) structure. The participants clarify that the U(1) bundle is not separate but rather a component of the existing SU(5) bundle, suggesting a combined structure of U(1) × SU(5). This highlights the intricacies of gauge theory and the implications of gauge bundle interactions.

PREREQUISITES
  • Understanding of Yang-Mills theory
  • Familiarity with gauge groups, specifically SU(5) and U(1)
  • Knowledge of gauge bundle concepts
  • Basic grasp of mathematical formulations in theoretical physics
NEXT STEPS
  • Research the mathematical framework of Yang-Mills theory
  • Explore the implications of gauge bundle decomposition in gauge theory
  • Study the role of U(1) in the context of larger gauge groups
  • Examine the physical consequences of gauge symmetry breaking
USEFUL FOR

The discussion is beneficial for theoretical physicists, mathematicians specializing in gauge theory, and advanced students seeking to understand the dynamics of gauge bundles in high-energy physics.

meha
Messages
6
Reaction score
0
Hello,
suppose you start with Yang Mills theory with some gauge group G, for example SU(5). Then you turn on a gauge bundle, say a U(1) bundle, and the group breaks down. I know that from hearsay but I wonder how would you describe that explicitly in formulas?
meha
 
Physics news on Phys.org
what du you mean by "turn on a gauge bundle"? you already have a SU(5) bundle, so whyt should U(1) be? U(1)*SU(5)?
 

Similar threads

Graduate On the group notation of the 1975 Wu-Yang paper
  • · Replies 10 ·
Replies
10
Views
4K
Graduate Derivation of the Yang-Mills 3 gauge boson vertex
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Yang-Mills Theory Explained: SU(N) Symmetry & Gauge Theory
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Is My Localized Yang-Mills Theory Solution Correct?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Yang-Mills theory, confinement and chiral symmetry breaking
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad What Is the Role of Gauge Theory in Particle Physics?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Classification of Gauge Theories
  • · Replies 3 ·
Replies
3
Views
5K
Graduate The gauge fields in Yang Mills theory are
  • · Replies 5 ·
Replies
5
Views
4K
Undergrad Gauge Theory and Fiber Bundles
  • · Replies 11 ·
Replies
11
Views
3K
Graduate New ideas on confinement and meson masses from Brazil
  • · Replies 4 ·
Replies
4
Views
3K