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

Physical review D Volume 65 Issue 1 Page 014501-1-014501-16 published_at 2001-11-20
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Title ( eng )
Spectral function and excited states in lattice QCD with the maximum entropy method
Creator
Aoki Sinya
Burkhalter Rudolf
Fukugita Masataka
Hashimoto Shoji
Ishizuka Naruhito
Iwasaki Yoichi
Kanaya Kazuyuki
Kaneko Takashi
Kuramashi Yoshinobu
Taniguchi Yusuke
Ukawa Akira
Yoshie Tomoteru
Source Title
Physical review D
Volume 65
Issue 1
Start Page 014501-1
End Page 014501-16
Abstract
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 the position and area of peaks in the spectral functions. We obtain the results mp1=660(590) MeV and mr 1=1540(570) MeV for the first excited state masses, in the continuum limit of quenched QCD. We also find unphysical states that have an 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 has been identified in lattice QCD numerical simulations.
Language
eng
Resource Type journal article
Publisher
American Physical Society
Date of Issued 2001-11-20
Rights
Copyright (c) 2002 American Physical Society.
Publish Type Version of Record
Access Rights open access
Source Identifier
[ISSN] 1550-7998
[DOI] 10.1103/PhysRevD.65.014501
[NCID] AA00773624
[DOI] http://dx.doi.org/10.1103/PhysRevD.65.014501