Study of stochastic estimates of quark loops with unbiased subtraction

Abstract

Stochastic noise estimator method is a powerful tool to calculate the disconnected insertion involving quark loops. We study the variance reduction technique with unbiased subtraction. We use the complex $Z_2$ noise to calculate the quark loops on a $16^3\times 24$ lattice with $\beta =6.0$ and $\kappa$ = 0.154. Unbiased subtraction method is performed by using hoping parameter expansion. We report on the variance reduction for the point-split vector current as a function of the number of subtraction terms and the number of noise used.

Lattice 2002 (matrixel), 3 pages

References in corpus (3)

• Strange Magnetic Moment of The Nucleon from Lattice QCD
• Strangeness Content in the Nucleon
• Disconnected Electromagnetic Form Factors

Cited by in corpus (5)

• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• Effective noise reduction techniques for disconnected loops in Lattice QCD
• Nucleon strangeness form factors from N_f=2+1 clover fermion lattice QCD
• Charmonium spectroscopy and mixing with light quark and open charm states from nF=2 lattice QCD
• Moments of Nucleon's Parton Distribution for the Sea and Valence Quarks from Lattice QCD