This shows you the differences between two versions of the page.
Both sides previous revision Previous revision Next revision | Previous revision Next revision Both sides next revision | ||
theorems:fabri-picasso [2017/11/16 10:01] jakobadmin [Proof] |
theorems:fabri-picasso [2017/12/04 08:01] 127.0.0.1 external edit |
||
---|---|---|---|
Line 10: | Line 10: | ||
| | ||
<tabbox Student> | <tabbox Student> | ||
+ | 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.) | ||
<blockquote> | <blockquote> |