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Topological susceptibility in lattice QCD with two flavors of dynamical quarks
Topological susceptibility in lattice QCD with two flavors of dynamical quarks
Khan, A.Ali
Aoki, S.
Burkhalter, R.
Ejiri, S.
Fukugita, M.
Hashimoto, S.
Ishizuka, N.
Iwasaki, Y.
Kanaya, K.
Kaneko, T.
Kuramashi, Y.
Manke, T.
Nagai, K.I.
Okawa, M.
Shanahan, H.P.
Ukawa, A.
Yoshie, T.
CP-PACS, Collaboration
(C) 2001 American Physical Society
We present a study of the topological susceptibility in lattice QCD with two degenerate flavors of dynamical quarks. The topological charge is measured on gauge configurations generated with a renormalization group improved gauge action and a mean field improved clover quark action at three values of β=6/g 2 with four sea quark masses at each β. The lattice spacings at these β ’s are a≈0.22, 0.16 and 0.11 fm at the physical up and down quark mass, which are fixed by the physical ρ meson mass. The study is supplemented by simulations of pure SU(3) gauge theory with the same gauge action at 5 values of β with lattice spacings 0.09 fm≲a≲0.27 fm. We employ a field-theoretic definition of the topological charge together with cooling. For the topological susceptibility in the continuum limit of pure SU(3) gauge theory we obtain χ 1/4 t =197 +13 -16 MeV where the error shows statistical and systematic ones added in quadrature. In full QCD χ t at heavy sea quark masses is consistent with that of pure SU(3) gauge theory. A decrease of χ t toward light quark masses, as predicted by the anomalous Ward-Takahashi identity for U(1) chiral symmetry, becomes clearer for smaller lattice spacings. The cross over in the behavior of χ t from heavy to light sea quark masses is discussed.
American Physical Society
2001-10
eng
journal article
http://hdl.handle.net/10191/27658
https://niigata-u.repo.nii.ac.jp/records/2366
info:doi/10.1103/PhysRevD.64.114501
AA00773624
15507998
Physical Review D
Physical Review D
64
11
114501
https://niigata-u.repo.nii.ac.jp/record/2366/files/64_11_114501.pdf
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2019-07-29