期刊
ANNALS OF PHYSICS
卷 334, 期 -, 页码 83-99出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2013.03.013
关键词
Functional renormalization group; Ultracold atom; BCS-BEC crossover
资金
- Studienstiftung des deutschen Volkes
- Graduate Academy Heidelberg
- Helmholtz Alliance [HA216/EMMI]
- [ERC-AdG-290623]
We present a strategy for estimating the error of truncated functional flow equations. While the basic functional renormalization group equation is exact, approximated solutions by means of truncations do not only depend on the choice of the retained information, but also on the precise definition of the truncation. Therefore, results depend on specification parameters that can be used to quantify the error of a given truncation. We demonstrate this for the BCS-BEC crossover in ultracold atoms. Within a simple truncation the precise definition of the frequency dependence of the truncated propagator affects the results, indicating a shortcoming of the choice of a frequency independent cutoff function. (C) 2013 Elsevier Inc. All rights reserved.
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