Wen bosonic lattice model, chiral interactions, noncommutative space

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SUMMARY

The discussion centers on the limitations of Wen's bosonic lattice models in generating chiral interactions within Minkowski space. It is established that while Wen can obtain W and Z gauge bosons and chiral neutrinos, he cannot achieve chiral interactions using standard bosonic lattice frameworks. The introduction of Connes' noncommutative space does not resolve this issue, as it would result in the loss of W and Z bosons, contradicting the expectations of the noncommutative Standard Model (SM) which includes these particles.

PREREQUISITES
  • Understanding of bosonic lattice models
  • Familiarity with chiral interactions in particle physics
  • Knowledge of noncommutative geometry as proposed by Alain Connes
  • Basic concepts of the Standard Model of particle physics
NEXT STEPS
  • Research the implications of noncommutative geometry in particle physics
  • Study the properties and interactions of W and Z bosons
  • Explore alternative lattice models that may support chiral interactions
  • Investigate the role of Higgs bosons in noncommutative frameworks
USEFUL FOR

The discussion is beneficial for theoretical physicists, particularly those focused on particle physics, lattice models, and noncommutative geometry. It is also relevant for researchers exploring the limitations of current models in generating chiral interactions.

ensabah6
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Hello,

I know that Wen might be able to get W Z gauge bosons and chiral neutrinos using his lattice bosonic models he is unable to get chiral interactions using standard bosonic lattice on minkowski space.

If instead he used Connes' noncommutative space would he be able to get chiral interactions?
 
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No, and he would loose the W and Z bosons too.
 
Bob_for_short said:
No, and he would loose the W and Z bosons too.

why? doesn't the noncommutative SM contain WZ and Higgs?
 

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