We derive a theoretical description for dilute Bose gases as a loop expansion in terms of composite-field propagators by rewriting the Lagrangian in terms of auxiliary fields related to the normal and anomalous densities. We demonstrate that already in leading order this nonperturbative approach describes a large interval of coupling-constant values, satisfies Goldstone's theorem, yields a Bose-Einstein transition that is second order, and is consistent with the critical temperature predicted in the weak-coupling limit by the next-to-leading-order large-N expansion.
%0 Journal Article
%1 Cooper2010Nonperturbative
%A Cooper, Fred
%A Chien, Chih C.
%A Mihaila, Bogdan
%A Dawson, John F.
%A Timmermans, Eddy
%D 2010
%I American Physical Society
%J Physical Review Letters
%K bose\_gas
%N 24
%P 240402+
%R 10.1103/physrevlett.105.240402
%T Nonperturbative Predictions for Cold Atom Bose Gases with Tunable Interactions
%U http://dx.doi.org/10.1103/physrevlett.105.240402
%V 105
%X We derive a theoretical description for dilute Bose gases as a loop expansion in terms of composite-field propagators by rewriting the Lagrangian in terms of auxiliary fields related to the normal and anomalous densities. We demonstrate that already in leading order this nonperturbative approach describes a large interval of coupling-constant values, satisfies Goldstone's theorem, yields a Bose-Einstein transition that is second order, and is consistent with the critical temperature predicted in the weak-coupling limit by the next-to-leading-order large-N expansion.
@article{Cooper2010Nonperturbative,
abstract = {We derive a theoretical description for dilute Bose gases as a loop expansion in terms of composite-field propagators by rewriting the Lagrangian in terms of auxiliary fields related to the normal and anomalous densities. We demonstrate that already in leading order this nonperturbative approach describes a large interval of coupling-constant values, satisfies Goldstone's theorem, yields a Bose-Einstein transition that is second order, and is consistent with the critical temperature predicted in the weak-coupling limit by the next-to-leading-order large-N expansion.},
added-at = {2014-01-09T15:14:33.000+0100},
author = {Cooper, Fred and Chien, Chih C. and Mihaila, Bogdan and Dawson, John F. and Timmermans, Eddy},
biburl = {https://www.bibsonomy.org/bibtex/24b1261fa60269ab8f7070a3afb9a3550/jaspervh},
citeulike-article-id = {9181603},
citeulike-linkout-0 = {http://dx.doi.org/10.1103/physrevlett.105.240402},
comment = {onzin},
doi = {10.1103/physrevlett.105.240402},
interhash = {68b054253b9587fc4e6ddfb0d92be1b7},
intrahash = {4b1261fa60269ab8f7070a3afb9a3550},
journal = {Physical Review Letters},
keywords = {bose\_gas},
month = dec,
number = 24,
pages = {240402+},
posted-at = {2013-03-20 19:46:03},
priority = {2},
publisher = {American Physical Society},
timestamp = {2014-01-09T15:14:33.000+0100},
title = {Nonperturbative Predictions for Cold Atom Bose Gases with Tunable Interactions},
url = {http://dx.doi.org/10.1103/physrevlett.105.240402},
volume = 105,
year = 2010
}