On the equivalence of Prony and Lanczos methods for Euclidean correlation functions
Johann Ostmeyer, Aniket Sen, Carsten Urbach
Abstract
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.
Topics & Concepts
Lanczos resamplingEquivalence (formal languages)Euclidean geometryEigenvalues and eigenvectorsMathematicsApplied mathematicsPure mathematicsPhysicsGeometryQuantum mechanicsTheoretical and Computational PhysicsStochastic processes and statistical mechanicsMarkov Chains and Monte Carlo Methods