Abstract

We present a renormalized theory which is free of the infrared (IR) divergences for Bose-Einstein-condensed systems. It is shown that the Beliaev-Dyson equation can be made regular in the IR limit by expressing the Green functions in the form of a series starting from the Bogiliubov approximation. In the resulting equations for Green's functions, all IR divergences are removed completely due to the appearance of natural IR cutoff factors. Our theory is applied to a low-density Bose gas, where we calculate the first three terms in the series expansion of the ground-state energy and chemical potential.

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