Ward–Takahashi relation at finite temperature in Bose–Einstein condensation of trapped neutral atoms

Masahiko Okumura and Yoshiya Yamanaka

Physica A: Statistical Mechanics and its Applications, 2005, vol. 348, issue C, 157-172

Abstract: We prove that the Ward–Takahashi relations at finite temperature are satisfied at the tree level for a system of a trapped Bose–Einstein condensate when the zero mode is included in the quasi-particle picture properly. This implies that the zero mode represents the Nambu–Goldstone mode and that it is introduced in a way consistent with the Goldstone theorem. In the proof, we employ thermo field dynamics which is a real-time operator formalism of quantum field theory at finite temperature.

Keywords: Bose–Einstein condensation; Ward–Takahashi relation; Thermo field dynamics (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:348:y:2005:i:c:p:157-172

DOI: 10.1016/j.physa.2004.10.006

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