Effective many-body interactions in one-dimensional dilute Bose gases
A.K. Kolezhuk
Institute of High Technologies, T. Shevchenko National University, Kyiv 03022, Ukraine
Institute of Magnetism NAS of Ukraine and MES of Ukraine, Kyiv 03142, Ukraine
E-mail: kolezhuk@gmail.com
pos Анотація:
Received March 25, 2020, published online June 22, 2020
Abstract
We propose a new method of constructing the effective theory for a multicomponent low-dimensional dilute Bose gas. The method is based on obtaining and solving renormalization group equations for all many-body interactions of density-density type in the one-loop approximation. In contrast to the standard approach based on two-body interactions, our method does not rely on the introduction of density-dependent infrared cutoff, and is able to reproduce exactly the leading term in the energy density of the one-dimensional dilute Bose gas, and to obtain the next term with the error of less than 2%.