Spectral function and excited states in lattice QCD with maximum entropy method

Details Spectral function and excited states in lattice QCD with maximum entropy method Spectral function and excited states in lattice QCD with maximum entropy method

2001-05-29

arxiv.org/abs/hep-lat/0105030v1

Phys.Rev.D65:014501,2002

Physics

High Energy Physics

High Energy Physics - Lattice

24 pages

Scientific paper

10.1103/PhysRevD.65.014501

We apply the maximum entropy method to extract the spectral functions for pseudoscalar and vector mesons from hadron correlators previously calculated at four different lattice spacings in quenched QCD with the Wilson quark action. We determine masses and decay constants for the ground and excited states of the pseudoscalar and vector channels from position and area of peaks in the spectral functions. We obtain the results, $m_{\pi_1} = 660(590)$ MeV and $m_{\rho_1} = 1540(570)$ MeV for the masses of the first excited state masses, in the continuum limit of quenched QCD. We also find unphysical states which have infinite mass in the continuum limit, and argue that they are bound states of two doublers of the Wilson quark action. If the interpretation is correct, this is the first time that the state of doublers is identified in lattice QCD numerical simulations.

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