Question

If weak isospin is not conserved in time, what does the Noether theorem tell us?

Answer 1

Hey buddy!!

So, Thé ÃnSwer is -- I have never read the explicit statement that weak isospin is violated as time evolves (= during propagation), but chirality is not conserved as time evolves (see for example this Phys.SE question) and left-chiral particles carry isospin, whereas right-chiral do not.

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Answer 2

Hey mate ^_^

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Answer:
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Weak isospin is only conserved in interactions but not as time evolves. Nevertheless, we get from Noether's theorem, because of global SU(2) invariance a conserved quantity that is commonly called weak isospin.

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