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Error estimates and specification parameters for functional renormalization

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arxiv 1301.4169 v1 pith:SSAOW6KI submitted 2013-01-17 cond-mat.quant-gas cond-mat.stat-mechnucl-th

David Schnoerr , Igor Boettcher , Jan M. Pawlowski , Christof Wetterich This is my paper · ORCID
classification cond-mat.quant-gascond-mat.stat-mechnucl-th
keywords errorfunctionaltruncationchoicedefinitiondependfrequencyparameters
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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.

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  1. Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory

    hep-th 2019-08 reject novelty 4.0 of 10

    For the rank-4 φ6 tensorial group field theory, the authors derive a Ward-constrained renormalization group flow and report a nontrivial fixed point, but the fixed point's reported values violate their own consistency...

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