Spectral Analysis by the Method of Consistent Constraints

Two major challenges of numeric analytic continuation---restoring the spectral density, $s(ω)$, from the corresponding Matsubara correlator, $g(τ)$---are (i) producing the most smooth/featureless answer for $s(ω)$ without compromising the error bars on $g(τ)$ and (ii) quantifying possible deviations of the produced result from the actual answer. We introduce the method of consistent constraints that solves both problems.

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