The model of interacting spatial permutations and its relation to the Bose gas
arXiv:0712.2443
Abstract
The model of spatial permutations is related to the Feynman-Kac representation of the Bose gas. The transition to infinite cycles corresponds to Bose-Einstein condensation. We review the general setting and some results, and we derive a multi-body interaction between permutation jumps, that is due to the original interactions between quantum particles.
14 pages
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