https://doi.org/10.1140/epja/s10050-025-01495-8
Regular Article - Theoretical Physics
On the equivalence of Prony and Lanczos methods for Euclidean correlation functions
Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, Bonn, Germany
Received:
4
December
2024
Accepted:
17
January
2025
Published online:
7
February
2025
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.
© The Author(s) 2025
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