Reconstruction of smeared spectral functions from Euclidean correlation functions
Gabriela Bailas, Shoji Hashimoto, Tsutomu Ishikawa
Abstract
Abstract We propose a method to reconstruct smeared spectral functions from two-point correlation functions measured on the Euclidean lattice. An arbitrary smearing function can be considered as long as it is smooth enough to allow an approximation using Chebyshev polynomials. We test the method with numerical lattice data of charmonium correlators. The method provides a framework to compare lattice calculation with experimental data including excited-state contributions without assuming quark–hadron duality.
Topics & Concepts
PhysicsEuclidean geometryChebyshev filterLattice (music)Chebyshev polynomialsCorrelation function (quantum field theory)Mathematical analysisStatistical physicsSpectral functionFunction (biology)CorrelationSpectral propertiesApproximation theorySpectral methodTrigonometric functionsEuclidean distanceApplied mathematicsSpectral shape analysisExperimental dataQuantum Chromodynamics and Particle InteractionsHigh-Energy Particle Collisions ResearchParticle physics theoretical and experimental studies