Topological susceptibility in two-flavor lattice QCD with exact chiral symmetry

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dc.creatorAoki, S.
dc.creatorChiu, T. W.
dc.creatorFukaya, H.
dc.creatorHashimoto, S.
dc.creatorHsieh, T. H.
dc.creatorKaneko, T.
dc.creatorMatsufuru, H.
dc.creatorNoaki, J.
dc.creatorOgawa, K.
dc.creatorOnogi, T.
dc.creatorYamada, N.
dc.date2007-10-05
dc.date2008-06-11
dc.date.accessioned2026-07-07T11:37:49Z
dc.date.available2026-07-07T11:37:49Z
dc.descriptionWe determine the topological susceptibility $χ_t$ in two-flavor QCD using the lattice simulations at a fixed topological sector. The topological charge density is unambiguously defined on the lattice using the overlap-Dirac operator which possesses exact chiral symmetry. Simulations are performed on a $16^3 \times 32$ lattice at lattice spacing $\sim$ 0.12 fm at six sea quark masses $m_q$ ranging in $m_s/6$--$m_s$ with $m_s$ the physical strange quark mass. The $χ_t$ is extracted from the constant behavior of the time-correlation of flavor-singlet pseudo-scalar meson two-point function at large distances, which arises from the finite size effect due to the fixed topology. In the small $m_q$ regime, our result of $χ_t$ is proportional to $m_q$ as expected from chiral effective theory. Using the formula $χ_t=m_qΣ/N_f$ by Leutwyler-Smilga, we obtain the chiral condensate in $N_f=2$ QCD as $Σ^{\bar{\mathrm{MS}}}(\mathrm{2 GeV}) = [252(5)(10) \mathrm{MeV}]^3 $, in good agreement with our previous result obtained in the $ε$-regime.
dc.description11 pages, 3 figures, v2: accepted for publication in PLB
dc.identifierhttps://arxiv.org/abs/0710.1130
dc.identifierhttp://arxiv.org/abs/0710.1130
dc.identifierPhys.Lett.B665:294-297,2008
dc.identifierdoi:10.1016/j.physletb.2008.06.039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199342
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleTopological susceptibility in two-flavor lattice QCD with exact chiral symmetry
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