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theorems:fabri-picasso [2017/12/04 08:01] 127.0.0.1 external edit |
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====== Fabri-Picasso Theorem====== | ====== Fabri-Picasso Theorem====== | ||
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Fabri and Picasso showed in 1966 that if the vacuum state $|0\rangle$ is invariant under translations, it follows that the vacuum state is invariant under the internal symmetry or there is no state corresponding to $\hat Q |0\rangle$ in the Hilbert space of the theory. ($\hat Q $ is the Noether charge that corresponds to the internal symmetry.) | Fabri and Picasso showed in 1966 that if the vacuum state $|0\rangle$ is invariant under translations, it follows that the vacuum state is invariant under the internal symmetry or there is no state corresponding to $\hat Q |0\rangle$ in the Hilbert space of the theory. ($\hat Q $ is the Noether charge that corresponds to the internal symmetry.) | ||
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<cite>http://publish.uwo.ca/~csmeenk2/files/HiggsMechanism.pdf</cite></blockquote> | <cite>http://publish.uwo.ca/~csmeenk2/files/HiggsMechanism.pdf</cite></blockquote> | ||
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- | <tabbox Examples> | + | <tabbox Why is it interesting?> |
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<tabbox FAQ> | <tabbox FAQ> |