Bose-Einstein Condensation and Spontaneous Symmetry Breaking
arXiv:math-ph/0610034 · doi:10.1016/S0034-4877(07)80074-7
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 -number substitution for the mode operator .
Contribution to the proceedings of the 21st Max Born Symposium, Wroclaw, Poland, June 26--28, 2006. (References added. To be published in Reports on Mathematical Physics.)