Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899831 | Reports on Mathematical Physics | 2007 | 11 Pages |
Abstract
After recalling briefly the connection between spontaneous symmetry breaking and off-diagonal long-range order for models of magnets a general proof of spontaneous breaking of gauge symmetry as a consequence of Bose-Einstein condensation is presented. The proof is based on a rigorous validation of Bogoliubov's c-number substitution for the k = 0 mode operator α0.
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Mathematical Physics