Right handed particles and SU(2)L gauge invariance

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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?