Reconstruction of smeared spectral function from Euclidean correlation functions

Understand

We propose a method to reconstruct smeared spectral functions from two-point correlation functions measured on the Euclidean lattice.

• Arbitrary smearing function can be considered as far 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.