Eigenspectrum Noise Subtraction Methods in Lattice QCD

We propose a new noise subtraction method, which we call 'eigenspectrum subtraction', which uses low eigenmode information to suppress statistical noise at low quark mass. This is useful for lattice calculations involving disconnected loops or all-to-all propagators. It has significant advantages over perturbative subtraction methods. We compare unsubtracted, eigenspectrum and perturbative error bar results for the scalar operator on a small Wilson QCD matrix.

operator: scalar
quark: mass
noise
quantum chromodynamics: lattice
propagator

References(4)

Figures(3)

[1]

Noise Methods for flavor singlet quantities

W. Wilcox

[2]

Pade - Z(2) estimator of determinants

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e-Print:
- hep-lat/9707001
•
DOI:
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[3]

Deflated GMRES for Systems with Multiple Shifts and Multiple Right-Hand Sides

Dean Darnell
(
- Baylor U.
)
,
Ronald B. Morgan
(
- Baylor U., Math. Dept.
)
,
Walter Wilcox
(
- Baylor U.
)

- Linear Algebra Appl. 429 (2008) 2415-2434
•
e-Print:
- 0707.0502
•
DOI:
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[4]

Deflated and Restarted Symmetric Lanczos Methods for Eigenvalues and Linear Equations with Multiple Right-Hand Sides

Abdou M. Abdel-Rehim
(
- Baylor U.
)
,
Ronald B. Morgan
(
- Baylor U., Math. Dept.
)
,
Dywayne A. Nicely
(
- Baylor U., Math. Dept.
)
,
Walter Wilcox
(
- Baylor U.
)

- SIAM J.Sci.Comput. 32 (2010) 1, 129-149,
- SIAM J.Sci.Statist.Comput. 32 129
•
e-Print:
- 0806.3477
•
DOI:
- 10.1137/080727361