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

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arxiv 2411.14981 v2 pith:RDUUS3DQ submitted 2024-11-22 hep-lat

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

classification hep-lat
keywords methodseuclideanlanczosmethodpronyadvantagesaleviatedanalysing
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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