Right handed particles and SU(2)L gauge invariance

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SUMMARY

The discussion centers on the relativistic invariance of theories where only left-handed fields couple in the weak force, specifically in the context of SU(2)L gauge invariance. Participants clarify that chirality, which refers to the intrinsic property of particles, cannot be measured directly as it does not commute with the Hamiltonian (H). The conversation emphasizes the distinction between chirality and helicity, asserting that the designation of "left-handed" is based on interaction properties rather than a measurable characteristic.

PREREQUISITES
  • Understanding of SU(2)L gauge invariance
  • Familiarity with weak force interactions
  • Knowledge of particle chirality and helicity
  • Basic concepts of quantum mechanics and Hamiltonians
NEXT STEPS
  • Research the implications of SU(2)L gauge invariance in particle physics
  • Study the role of chirality in weak force interactions
  • Explore the relationship between chirality and helicity in quantum mechanics
  • Investigate how relativistic invariance is maintained in particle theories
USEFUL FOR

This discussion is beneficial for theoretical physicists, particle physicists, and students studying quantum field theory, particularly those interested in the weak force and gauge invariance concepts.

alemsalem
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If only left handed fields couple in the weak force, and we can boost to a frame that changes left handed fields to right handed ones, how can that theory be relativistically invariant?

thanks for the help!
 
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Left-handed refers to chirality, not helicity.
 
I read that chirality cannot be measured because it does not commute with H.
It seems strange to say that it is left only because it interacts.
Can you elaborate?
 

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