Quenched chiral logarithms in lattice QCD with exact chiral symmetry

Abstract

We examine quenched chiral logarithms in lattice QCD with overlap Dirac quark. For 100 gauge configurations generated with the Wilson gauge action at $\beta =5.8$ on the $8^3\times 24$ lattice, we compute quenched quark propagators for 12 bare quark masses. The pion decay constant is extracted from the pion propagator, and from which the lattice spacing is determined to be 0.147 fm. The presence of quenched chiral logarithm in the pion mass is confirmed, and its coefficient is determined to be $\delta =0.203\pm 0.014$, in agreement with the theoretical estimate in quenched chiral perturbation theory. Further, we obtain the topological susceptibility of these 100 gauge configurations by measuring the index of the overlap Dirac operator. Using a formula due to exact chiral symmetry, we obtain the ${\eta }^{\prime }$ mass in quenched chiral perturbation theory, $m_{{\eta }^{\prime }}=(901\pm 64)$ Mev, and an estimate of $\delta =0.197\pm 0.027$, which is in good agreement with that determined from the pion mass.

24 pages, 6 EPS figures; v2: some clarifications added, to appear in Physical Review D

References in corpus (8)

• The QCD spectrum with three quark flavors
• The U_A(1) Problem on the Lattice with Ginsparg-Wilson Fermions
• Some more remarks on the Witten-Veneziano formula for the ${\eta }^{\prime }$ mass
• Witten-Veneziano Relation, Quenched QCD, and Overlap Fermions
• Chiral Properties of Pseudoscalar Mesons on a Quenched $20^4$ Lattice with Overlap Fermions
• The Index of a Ginsparg-Wilson Dirac operator
• Perturbation Calculation of the Axial Anomaly of a Ginsparg-Wilson lattice Dirac operator
• A comparative study of numerical methods for the overlap Dirac operator--a status report

Cited by in corpus (8)

• Quenched spectroscopy with fixed-point and chirally improved fermions
• Light quark masses, chiral condensate and quark-gluon condensate in quenched lattice QCD with exact chiral symmetry
• A note on Zolotarev optimal rational approximation for the overlap Dirac operator
• Chiral Logs in Quenched QCD
• Pseudoscalar Decay Constants $f_D$ and $f_{D_s}$ in Lattice QCD with Exact Chiral Symmetry
• Study of $Thet{a}^{+}(udud\bar{s})$ in lattice QCD with exact chiral symmetry
• Recent results from systematic parameterizations of Ginsparg-Wilson fermions
• A Linux PC cluster for lattice QCD with exact chiral symmetry