@article{a1bb5170102544d2a855deefb442af95,
title = "Relation between generalized Bogoliubov and Bogoliubov-de Gennes approaches including Nambu-Goldstone mode",
abstract = "The two approaches of consistent quantum field theory for systems of the trapped Bose-Einstein condensates are known, one is the Bogoliubov-de Gennes approach and the other is the generalized Bogoliubov approach. In this paper, we investigate the relation between the two approaches and show that they are formally equivalent to each other. To do this one must carefully treat the Nambu-Goldstone mode which plays a crucial role in the condensation. It is emphasized that the choice of vacuum is physically relevant.",
author = "M. Mine and M. Okumura and Y. Yamanaka",
note = "Funding Information: The authors would like to thank Professors I. Ohba and H. Nakazato for helpful comments and encouragements, and Dr. H. Iwasaki for useful discussions. The authors thank the Yukawa Institute for Theoretical Physics at Kyoto University for offering us the opportunity of discussions during the YITP workshop YITP-W-03-10 on “Thermal Quantum Field Theories and Their Applications,” useful to complete this work. M.M. is supported partially by Fujukai. M.M. and M.O. are also supported partially by the Grant-in-Aid for The 21st Century COE Program (Physics of Self-organization Systems) at Waseda University and that for Priority Area B (No. 763), MEXT. Y.Y. wishes to express his thanks for Waseda University Grant for Special Research Projects.",
year = "2005",
month = apr,
doi = "10.1063/1.1865322",
language = "English",
volume = "46",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",
number = "4",
}