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Main Authors:	Ostmeyer, Johann, Sen, Aniket, Urbach, Carsten
Format:	Preprint
Published:	2024
Subjects:	High Energy Physics - Lattice
Online Access:	https://arxiv.org/abs/2411.14981
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author	Ostmeyer, Johann Sen, Aniket Urbach, Carsten
author_facet	Ostmeyer, Johann Sen, Aniket Urbach, Carsten
contents	We investigate the oblique Lanczos method recently put forward in arXiv:2406.20009 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 aleviated by either of these two methods. Still, both methods show clear advantages when compared to the standard effective mass approach.
format	Preprint
id	arxiv_https___arxiv_org_abs_2411_14981
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	On the equivalence of Prony and Lanczos methods for Euclidean correlation functions Ostmeyer, Johann Sen, Aniket Urbach, Carsten High Energy Physics - Lattice We investigate the oblique Lanczos method recently put forward in arXiv:2406.20009 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 aleviated by either of these two methods. Still, both methods show clear advantages when compared to the standard effective mass approach.
title	On the equivalence of Prony and Lanczos methods for Euclidean correlation functions
topic	High Energy Physics - Lattice
url	https://arxiv.org/abs/2411.14981

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