A test on analytic continuation of thermal imaginary-time data |
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Authors: | Y Burnier M Laine L Mether |
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Institution: | 1.Dept. of Physics and Astronomy,SUNY, Stony Brook,NY,USA;2.Faculty of Physics,University of Bielefeld,Bielefeld,Germany |
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Abstract: | Some time ago, Cuniberti et al. have proposed a novel method for analytically continuing thermal imaginary-time correlators
to real time, which requires no model input and should be applicable with finite-precision data as well. Given that these
assertions go against common wisdom, we report on a naive test of the method with an idealized example. We do encounter two
problems, which we spell out in detail; this implies that systematic errors are difficult to quantify. On a more positive
note, the method is simple to implement and allows for an empirical recipe by which a reasonable qualitative estimate for
some transport coefficient may be obtained, if statistical errors of an ultraviolet-subtracted imaginary-time measurement
can be reduced to roughly below the per mille level. |
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