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On the equivalence of Prony and Lanczos methods for Euclidean correlation functions.

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Title: On the equivalence of Prony and Lanczos methods for Euclidean correlation functions.
Authors: Ostmeyer, J.1 (AUTHOR), Sen, A.1 (AUTHOR), Urbach, C.1 (AUTHOR) urbach@hiskp.uni-bonn.de
Source: European Physical Journal A -- Hadrons & Nuclei. Feb2025, Vol. 61 Issue 2, p1-10. 10p.
Subjects: Lattice field theory, Lanczos method, Prony analysis, Statistical correlation, Correlators
Abstract: We investigate the oblique Lanczos method recently put forward in Ref. [1] for analysing Euclidean correlators in lattice field theories and show that it is analytically equivalent to the well known Prony Generalised Eigenvalue Method (PGEVM). Moreover, we discuss that the signal-to-noise problem is not alleviated by either of these two methods. Still, both methods show clear advantages when compared to the standard effective mass approach. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal A -- Hadrons & Nuclei is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: On the equivalence of Prony and Lanczos methods for Euclidean correlation functions.
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  Data: <searchLink fieldCode="AR" term="%22Ostmeyer%2C+J%2E%22">Ostmeyer, J.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Sen%2C+A%2E%22">Sen, A.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Urbach%2C+C%2E%22">Urbach, C.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> urbach@hiskp.uni-bonn.de</i>
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+A+--+Hadrons+%26+Nuclei%22">European Physical Journal A -- Hadrons & Nuclei</searchLink>. Feb2025, Vol. 61 Issue 2, p1-10. 10p.
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  Data: <searchLink fieldCode="DE" term="%22Lattice+field+theory%22">Lattice field theory</searchLink><br /><searchLink fieldCode="DE" term="%22Lanczos+method%22">Lanczos method</searchLink><br /><searchLink fieldCode="DE" term="%22Prony+analysis%22">Prony analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+correlation%22">Statistical correlation</searchLink><br /><searchLink fieldCode="DE" term="%22Correlators%22">Correlators</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We investigate the oblique Lanczos method recently put forward in Ref. [1] for analysing Euclidean correlators in lattice field theories and show that it is analytically equivalent to the well known Prony Generalised Eigenvalue Method (PGEVM). Moreover, we discuss that the signal-to-noise problem is not alleviated by either of these two methods. Still, both methods show clear advantages when compared to the standard effective mass approach. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of European Physical Journal A -- Hadrons & Nuclei is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1140/epja/s10050-025-01495-8
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      – Code: eng
        Text: English
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        PageCount: 10
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      – SubjectFull: Lattice field theory
        Type: general
      – SubjectFull: Lanczos method
        Type: general
      – SubjectFull: Prony analysis
        Type: general
      – SubjectFull: Statistical correlation
        Type: general
      – SubjectFull: Correlators
        Type: general
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      – TitleFull: On the equivalence of Prony and Lanczos methods for Euclidean correlation functions.
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            NameFull: Sen, A.
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              Text: Feb2025
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              Y: 2025
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            – TitleFull: European Physical Journal A -- Hadrons & Nuclei
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