2024-03-28T19:54:18Z
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oai:tsukuba.repo.nii.ac.jp:00007789
2022-07-29T05:16:37Z
2871:2873:125
29:110
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Spectral function and excited states in lattice QCD with the maximum entropy method
Yamazaki, T.
Aoki, S.
Burkhalter, R.
Fukugita, M.
Hashimoto, S.
Ishizuka, N.
Iwasaki, Y.
岩崎, 洋一
Kanaya, K.
Kaneko, T.
Kuramashi, Y.
Okawa, M.
Taniguchi, Y.
Ukawa, A.
宇川, 彰
Yoshie, T.
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 mπ1=660(590) MeV and mρ1=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.
journal article
American Physical Society
2001-11
application/pdf
Physical review D
1
65
014501
http://hdl.handle.net/2241/89333
2470-0010
AA00773624
https://tsukuba.repo.nii.ac.jp/record/7789/files/PRD_65-1.pdf
eng
https://doi.org/10.1103/PhysRevD.65.014501
(c) 2001 The American Physical Society
open access