Speaker
Sakura Itatani
(SOKENDAI / KEK)
Description
We study vector current correlators using the singular value decomposition (SVD) of the Laplace kernel, $\exp(-\omega\tau)$, which identifies the components of the spectral function that can be reliably reconstructed from Euclidean correlator data. The vector-current correlator provides access to the spectrum of interacting two-pion states, including the $\rho$-resonance region. We test the method using mock data constructed from the Omnès representation of the timelike pion form factor, as well as simulated lattice correlators. We then investigate how sensitively the SVD-projected observables constrain model parameters of the spectrum.
Author
Sakura Itatani
(SOKENDAI / KEK)
Co-authors
Ryutaro Tsuji
(KEK)
Shoji Hashimoto
(KEK)