A test on analytic continuation of thermal imaginary-time data
| Autor: | Burnier, Y., Laine, M., Mether, L. |
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| Rok vydání: | 2011 |
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| Zdroj: | Eur.Phys.J.C71:1619,2011 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1140/epjc/s10052-011-1619-0 |
| Popis: | 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. Comment: 6 pages. v2: a clarifying figure added; published version |
| Databáze: | arXiv |
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