A test on analytic continuation of thermal imaginary-time data

Details A test on analytic continuation of thermal imaginary-time data A test on analytic continuation of thermal imaginary-time data

2011-01-28

arxiv.org/abs/1101.5534v2

Eur.Phys.J.C71:1619,2011

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages. v2: a clarifying figure added; published version

Scientific paper

10.1140/epjc/s10052-011-1619-0

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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