Bose-Einstein Condensation and Spontaneous Symmetry Breaking
Mathematical Physics
2009-11-11 v2 Statistical Mechanics
math.MP
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 .
Cite
@article{arxiv.math-ph/0610034,
title = {Bose-Einstein Condensation and Spontaneous Symmetry Breaking},
author = {Elliott H. Lieb and Robert Seiringer and Jakob Yngvason},
journal= {arXiv preprint arXiv:math-ph/0610034},
year = {2009}
}
Comments
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.)