Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-03-31
Phys.Rev.D78:034014,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
The model Lagrangian is re-formulated by decomposing the complex scalar field into its real and imaginary parts. The anomalous
Scientific paper
10.1103/PhysRevD.78.034014
We 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.
Deng Jian
Wang Jin-cheng
Wang Qiangguo
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