Renormalization Effects in a Dilute Bose Gas

Details Renormalization Effects in a Dilute Bose Gas Renormalization Effects in a Dilute Bose Gas

1996-09-05

arxiv.org/abs/hep-th/9609047v1

Phys.Rev.B55:8090-8093,1997

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 1 postscript figure, LaTeX

Scientific paper

10.1103/PhysRevB.55.8090

The low-density expansion for a homogeneous interacting Bose gas at zero temperature can be formulated as an expansion in powers of $\sqrt{\rho a^3}$, where $\rho$ is the number density and $a$ is the S-wave scattering length. Logarithms of $\rho a^3$ appear in the coefficients of the expansion. We show that these logarithms are determined by the renormalization properties of the effective field theory that describes the scattering of atoms at zero density. The leading logarithm is determined by the renormalization of the pointlike $3 \to 3$ scattering amplitude.

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