Use of stochastic sources for the lattice determination of light quark physics

Abstract

In this paper we investigate the benefits of using Z(2)xZ(2) single timeslice stochastic sources for the calculation of light quark physics on the lattice. Meson 2-point correlators measured using sources stochastic in only spin and those stochastic in both spin and colour indices are compared to point source correlators on the unit gauge and on a 16^3 x 32 Domain Wall QCD ensemble. It is found that the use of stochastic sources gives a considerable improvement in statistics for the same computational cost. The neutral kaon mixing matrix element B_K is also calculated on this ensemble with stochastic sources, but we conclude that the stochastic method offers no significant advantage over the traditional gauge-fixed wall source approach which already offers an exact volume average. We also discuss the application to semileptonic form factors in conjunction with partially twisted boundary conditions.

26 pages, 7 figures. Version accepted by JHEP

References in corpus (5)

• The pion's electromagnetic form factor at small momentum transfer in full lattice QCD
• Kl3 semileptonic form factor from 2+1 flavour lattice QCD
• Neutral kaon mixing from 2+1 flavor Domain Wall QCD
• Hadronic form factors in Lattice QCD at small and vanishing momentum transfer
• Pseudo-scalar meson form factors with maximally twisted Wilson fermions at Nf = 2

Cited by in corpus (13)

• Electromagnetic form factor of the pion from twisted-mass lattice QCD at Nf=2
• The pion's electromagnetic form factor at small momentum transfer in full lattice QCD
• The infrared regime of SU(2) with one adjoint Dirac flavour
• The charm-quark contribution to light-by-light scattering in the muon $(g-2)$ from lattice QCD
• K->pi form factors with reduced model dependence
• Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
• Lattice studies of the $Sp(4)$ gauge theory with two fundamental and three antisymmetric Dirac fermions
• $SU(2)$ Gauge Theory with Two Fundamental Flavours: Scalar and Pseudoscalar Spectrum
• The kaon semileptonic form factor in Nf=2+1 domain wall lattice QCD with physical light quark masses
• The SU(3) Sextet Model with Wilson Fermions
• Quark mass dependence of on-shell and half off-shell scattering amplitudes from Bethe-Salpeter wave function inside the interaction range
• Composite (Goldstone) Higgs Dynamics on the Lattice: Spectrum of SU(2) Gauge Theory with two Fundamental Fermions
• Towards the physical point hadronic vacuum polarisation from Moebius DWF