slides - Lattice Seminar - Desy
slides - Lattice Seminar - Desy
slides - Lattice Seminar - Desy
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
<strong>Lattice</strong> QCD Background<br />
All-to-all<br />
Propagators<br />
in <strong>Lattice</strong><br />
Hadron<br />
Spectrum<br />
Calculations<br />
Correlation functions between hadron operators are an<br />
ensemble average over gauge configurations.<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 />
〈0|O i<br />
[<br />
ψ, ψ, U<br />
]<br />
(t) Oj<br />
[<br />
ψ, ψ, U<br />
]<br />
(t0 )|0〉<br />
〈0|0〉<br />
= 〈 F ij [M −1 (U), U] 〉 U<br />
M −1 (U), is a (V × L t × N spin × N color )-dimensional<br />
matrix. Can only solve equations like<br />
M(x, y)φ(y) = η(x) → φ(x) = M −1 (x, y)η(y)<br />
‘Point-to-all’ ⇒ η(x) ∝ δ(x, x 0 )<br />
‘All-to-all’ ⇒ Use of M −1 (x, y) ∀x, y<br />
John Bulava<br />
All-to-all Propagators in <strong>Lattice</strong> Hadron Spectrum Calculations
Change language