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slides - Lattice Seminar - Desy

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Noise in the Subspace Only<br />

All-to-all<br />

Propagators<br />

in <strong>Lattice</strong><br />

Hadron<br />

Spectrum<br />

Calculations<br />

John Bulava<br />

Background<br />

Distillation -<br />

An Exact<br />

All-to-all<br />

Method<br />

Variance-<br />

Reduced<br />

Stochastic<br />

LapH (VRSL)<br />

A new way to introduce noise:<br />

η cα(x, (r) ∑N ev<br />

t) =<br />

n=1<br />

Dilute in the subspace only<br />

η cα (r)[d] ∑N ev<br />

(x, t) =<br />

n=1<br />

αn[t] v c<br />

(n) [U; t](x)<br />

a (r)<br />

a (r)[d]<br />

αn<br />

[t] v (n) [U; t](x)<br />

a αn<br />

(r)[d] [t] = P [d]<br />

(αn|α ′ n ′ ) (t|t′ ) a (r)<br />

α ′ n<br />

[t ′ ] ′<br />

c<br />

Is VRSL more efficient than conventional dilution What<br />

about the volume dependence<br />

John Bulava<br />

All-to-all Propagators in <strong>Lattice</strong> Hadron Spectrum Calculations

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