Study of stochastic estimates of quark loops with unbiased subtraction

Details Study of stochastic estimates of quark loops with unbiased subtraction Study of stochastic estimates of quark loops with unbiased subtraction

2002-09-04

arxiv.org/abs/hep-lat/0209055v1

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice 2002 (matrixel), 3 pages

Scientific paper

10.1016/S0920-5632(03)01567-6

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.

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