Bose-Einstein Condensation and Spontaneous Symmetry Breaking

Details Bose-Einstein Condensation and Spontaneous Symmetry Breaking Bose-Einstein Condensation and Spontaneous Symmetry Breaking

2006-10-16

arxiv.org/abs/math-ph/0610034v2

Rep. Math. Phys. 59, 389-399 (2007)

Physics

Mathematical Physics

Contribution to the proceedings of the 21st Max Born Symposium, Wroclaw, Poland, June 26--28, 2006. (References added. To be p

Scientific paper

10.1016/S0034-4877(07)80074-7

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 ${\bf k}={\bf 0}$ mode operator $a_{\bf 0}$.

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