Bose-Einstein Condensation and Spontaneous Symmetry Breaking
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 a 0.
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