Bose-Einstein condensation and spontaneous symmetry breaking
Lieb É, Seiringer R, Yngvason J. 2007. Bose-Einstein condensation and spontaneous symmetry breaking. Reports on Mathematical Physics. 59(3), 389–399.
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Lieb, Élliott H;
Seiringer, RobertISTA 
;
Yngvason, Jakob
;
Yngvason, JakobAbstract
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.
Publishing Year
Date Published
2007-06-01
Journal Title
Reports on Mathematical Physics
Publisher
Elsevier
Volume
59
Issue
3
Page
389 - 399
IST-REx-ID
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Lieb É, Seiringer R, Yngvason J. Bose-Einstein condensation and spontaneous symmetry breaking. Reports on Mathematical Physics. 2007;59(3):389-399. doi:10.1016/S0034-4877(07)80074-7
Lieb, É., Seiringer, R., & Yngvason, J. (2007). Bose-Einstein condensation and spontaneous symmetry breaking. Reports on Mathematical Physics. Elsevier. https://doi.org/10.1016/S0034-4877(07)80074-7
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Bose-Einstein Condensation and Spontaneous Symmetry Breaking.” Reports on Mathematical Physics. Elsevier, 2007. https://doi.org/10.1016/S0034-4877(07)80074-7.
É. Lieb, R. Seiringer, and J. Yngvason, “Bose-Einstein condensation and spontaneous symmetry breaking,” Reports on Mathematical Physics, vol. 59, no. 3. Elsevier, pp. 389–399, 2007.
Lieb É, Seiringer R, Yngvason J. 2007. Bose-Einstein condensation and spontaneous symmetry breaking. Reports on Mathematical Physics. 59(3), 389–399.
Lieb, Élliott, et al. “Bose-Einstein Condensation and Spontaneous Symmetry Breaking.” Reports on Mathematical Physics, vol. 59, no. 3, Elsevier, 2007, pp. 389–99, doi:10.1016/S0034-4877(07)80074-7.
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