Light quark masses, chiral condensate and quark-gluon condensate in quenched lattice QCD with exact chiral symmetry
| dc.creator | Chiu, Ting-Wai | |
| dc.creator | Hsieh, Tung-Han | |
| dc.date | 2003-05-19 | |
| dc.date | 2003-09-23 | |
| dc.date.accessioned | 2026-07-07T10:28:38Z | |
| dc.date.available | 2026-07-07T10:28:38Z | |
| dc.description | We determine several quantities in quenched lattice QCD with exact chiral symmetry. For 100 gauge configurations generated with Wilson gauge action at $ β= 6.0 $ on the $ 16^3 \times 32 $ lattice, we compute quenched quark propagators for 13 bare quark masses. The pion decay constant is extracted from the pion propagator, and from which the inverse lattice spacing is determined to be $ a^{-1} = 1.979(6) $ GeV. The parameters ($ C, δ, B $) in the pseudoscalar meson mass formula in quenched chiral perturbation theory (q$χ$PT) to one-loop order are determined. Further, we measure the index (topological) susceptibility of these 100 gauge configurations, $ χ_t = (175 \pm 6 {MeV})^4 $, from which we obtain an estimate of the mass of $ η' $ in q$χ$PT, and the coefficient of quenched chiral logarithm, both in good agreement with the values determined from the pion masses, as well as with the theoretical estimates. With our values of $ C, δ, B $, the experimental inputs of pion and kaon masses, and the pion decay constant, we determine the light quark masses: $ m_{u,d} = 4.1 \pm 0.3 $ MeV, and $ m_s = 92 \pm 9 $ MeV, in the $ \bar{MS} $ scheme at scale $ μ= 2 $ GeV. Also, we determine the quark condensate $<\bar q q > = -(250 \pm 3 {MeV})^3 $, and the quark-gluon condensate $ g < \bar q σ_{μν} F_{μν} q > = -(434 \pm 4 {MeV})^5 $, in the $ \bar{MS} $ scheme at scale 2 GeV. | |
| dc.description | 24 pages, 9 figures, the version to appear in Nucl.Phys.B | |
| dc.identifier | https://arxiv.org/abs/hep-lat/0305016 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/0305016 | |
| dc.identifier | Nucl.Phys.B673:217-237,2003; Nucl.Phys.Proc.Suppl.129:492-494,2004 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2003.09.035 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/177518 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Nuclear Theory | |
| dc.title | Light quark masses, chiral condensate and quark-gluon condensate in quenched lattice QCD with exact chiral symmetry | |
| dc.type | text |