Bulg. J. Phys. vol.41 no.2 (2014), pp. 180-186

Many-Body Composite Bosons from the Viewpoint of Functional Renormalization

Y. Tanizaki1,2
1Department of Physics, The University of Tokyo
2Theoretical Research Division, Nishina Center, RIKEN
Abstract. Fermionic functional renormalization group is applied to describe Bose--Einstein condensation of composite dimers in a two-component fermionic system with a short-range interaction. Since fermions are bounded in dimers, they do not affect long-range nature of the system. This requires us to invent a renormalization group procedure, which controls the dispersion relation of composite bosons without affecting that of fermionic excitations. In order to realize it without introducing auxiliary bosonic fields, we introduce a vertex infrared regulator so as to compute the critical temperature.

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