BCS-BEC crossover in a relativistic boson-fermion model beyond mean field approximation

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dc.creatorDeng, Jian
dc.creatorWang, Jin-cheng
dc.creatorWang, Qun
dc.date2008-03-31
dc.date2008-07-21
dc.date.accessioned2026-07-07T11:49:27Z
dc.date.available2026-07-07T11:49:27Z
dc.descriptionWe investigate the fluctuation effect of the di-fermion field in the crossover from Bardeen-Cooper-Schrieffer (BCS) pairing to a Bose-Einstein condensate (BEC) in a relativistic superfluid. We work within the boson-fermion model obeying a global U(1) symmetry. To go beyond the mean field approximation we use Cornwall-Jackiw-Tomboulis (CJT) formalism to include higher order contributions. The quantum fluctuations of the pairing condensate is provided by bosons in non-zero modes, whose interaction with fermions gives the two-particle-irreducible (2PI) effective potential. It changes the crossover property in the BEC regime. With the fluctuations the superfluid phase transition becomes the first order in grand canonical ensemble. We calculate the condensate, the critical temperature $T_{c}$ and particle abundances as functions of crossover parameter the boson mass.
dc.descriptionThe model Lagrangian is re-formulated by decomposing the complex scalar field into its real and imaginary parts. The anomalous propagators of the complex scalar are then included at tree level. All numerical results are updated. ReVTex 4, 13 pages, 10 figures, PRD accepted version
dc.identifierhttps://arxiv.org/abs/0803.4360
dc.identifierhttp://arxiv.org/abs/0803.4360
dc.identifierPhys.Rev.D78:034014,2008
dc.identifierdoi:10.1103/PhysRevD.78.034014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203242
dc.subjectHigh Energy Physics - Phenomenology
dc.titleBCS-BEC crossover in a relativistic boson-fermion model beyond mean field approximation
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