Gauge Group Choice: Can U(1) Describe Color & Weak Force?

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SUMMARY

The discussion centers on the feasibility of using the U(1) gauge group to describe the color force and weak force in particle physics. Participants assert that while SU(N) gauge groups exhibit properties such as confinement, U(1) cannot produce short-range confinement due to its inherent long-range photon characteristics. The Higgs mechanism in electroweak theory is mentioned as a relevant concept, highlighting the limitations of U(1) in this context.

PREREQUISITES
  • Understanding of gauge theory, specifically SU(N) and U(1) groups.
  • Familiarity with the concepts of confinement and the Higgs mechanism.
  • Knowledge of particle physics, particularly the color force and weak force interactions.
  • Basic understanding of electroweak theory and its implications.
NEXT STEPS
  • Research the properties of SU(N) gauge groups and their role in quantum chromodynamics (QCD).
  • Explore the Higgs mechanism and its impact on particle mass and confinement.
  • Study the differences between long-range and short-range forces in gauge theories.
  • Investigate alternative gauge groups and their potential applications in theoretical physics.
USEFUL FOR

The discussion is beneficial for theoretical physicists, graduate students in particle physics, and researchers exploring gauge theories and their implications in fundamental forces.

jfy4
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Hi,

I have been assuming something I never took the time to prove because it is beyond my scope so to speak. But I am on the path, rest assured.

My question is, is it possible to describe correctly say, the color force, using a different gauge group, regardless of the difficulty? That is for example, is it possible to describe the color force, or the weak force using the gauge group U(1) regardless of the perhaps extreme difficulty?

Thanks,
 
Physics news on Phys.org
All SU(N) gauge groups have similar properties, especially they produce confinement (only if unbroken; see Higgs mechanisms in el.-weak theory w/o confinement). U(1) always has long-range photons, so there is no way to generate short-range confinement from U(1).
 

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