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theorems:fabri-picasso

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 theorems:fabri-picasso [2017/12/04 07:01]127.0.0.1 external edit theorems:fabri-picasso [2018/03/28 13:27] (current)jakobadmin Both sides previous revision Previous revision 2018/03/28 13:27 jakobadmin 2017/12/04 07:01 external edit2017/11/16 09:06 jakobadmin [Student] 2017/11/16 09:01 jakobadmin [Proof] 2017/11/16 09:01 jakobadmin 2017/11/16 09:00 jakobadmin 2017/11/16 08:59 jakobadmin created 2018/03/28 13:27 jakobadmin 2017/12/04 07:01 external edit2017/11/16 09:06 jakobadmin [Student] 2017/11/16 09:01 jakobadmin [Proof] 2017/11/16 09:01 jakobadmin 2017/11/16 09:00 jakobadmin 2017/11/16 08:59 jakobadmin created Line 1: Line 1: ====== Fabri-Picasso Theorem====== ====== Fabri-Picasso Theorem====== -  ​ - <​tabbox ​Layman> + + <​tabbox ​Intuitive> Line 9: Line 9: ​ ​ ​ - <​tabbox ​Student> + <​tabbox ​Concrete> 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.) Line 28: Line 28: <​cite>​http://​publish.uwo.ca/​~csmeenk2/​files/​HiggsMechanism.pdf​ <​cite>​http://​publish.uwo.ca/​~csmeenk2/​files/​HiggsMechanism.pdf​ - <​tabbox ​Researcher> + <​tabbox ​Abstract> Line 35: Line 35: ​ ​ - <​tabbox ​Examples> + <​tabbox ​Why is it interesting?​> - + - --> Example1# + - + - + - <-- + - + - --> Example2:#​ + - + - + - <-- +  ​  ​