Bose-Einstein condensation and spontaneous symmetry breaking

Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob

doi:10.1016/S0034-4877(07)80074-7

Bose-Einstein condensation and spontaneous symmetry breaking

2007

11 pages

Published in:

Rept.Math.Phys. 59 (2007) 389-399

e-Print:

math-ph/0610034 [math-ph]

DOI:

10.1016/S0034-4877(07)80074-7

View in:

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Abstract: (Elsevier)

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 α 0 .

Note:

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.)

Bose-Einstein condensation
gauge symmetry
c-number substitutions
c -number substituions
c-number substituions
talk: Wroclaw 2006/06/26
condensation: Bose-Einstein
spontaneous symmetry breaking
symmetry breaking: gauge
magnet

References(20)

Figures(0)

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