A test on analytic continuation of thermal imaginary-time data
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 repor...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Subjects: | |
| Online Access: | https://doi.org/10.1140/epjc/s10052-011-1619-0 |
| _version_ | 1797349728341458944 |
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| author | Y. Burnier M. Laine L. Mether |
| author_facet | Y. Burnier M. Laine L. Mether |
| author_sort | Y. Burnier |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-08T12:34:35Z |
| format | Article |
| id | doaj.art-950a54b96cef45f393d979c4182799f6 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-03-08T12:34:35Z |
| publishDate | 2011-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-950a54b96cef45f393d979c4182799f62024-01-21T12:32:27ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522011-04-017141710.1140/epjc/s10052-011-1619-0A test on analytic continuation of thermal imaginary-time dataY. Burnier0M. Laine1L. Mether2Dept. of Physics and Astronomy, SUNY, Stony BrookFaculty of Physics, University of BielefeldFaculty of Physics, University of BielefeldAbstract 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.https://doi.org/10.1140/epjc/s10052-011-1619-0Spectral FunctionAnalytic ContinuationHeavy QuarkHigh Energy PhysFourier Mode |
| spellingShingle | Y. Burnier M. Laine L. Mether A test on analytic continuation of thermal imaginary-time data European Physical Journal C: Particles and Fields Spectral Function Analytic Continuation Heavy Quark High Energy Phys Fourier Mode |
| title | A test on analytic continuation of thermal imaginary-time data |
| title_full | A test on analytic continuation of thermal imaginary-time data |
| title_fullStr | A test on analytic continuation of thermal imaginary-time data |
| title_full_unstemmed | A test on analytic continuation of thermal imaginary-time data |
| title_short | A test on analytic continuation of thermal imaginary-time data |
| title_sort | test on analytic continuation of thermal imaginary time data |
| topic | Spectral Function Analytic Continuation Heavy Quark High Energy Phys Fourier Mode |
| url | https://doi.org/10.1140/epjc/s10052-011-1619-0 |
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