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Logarithmic corrections to O(a^2) lattice artifacts · Around

2009

Logarithmic corrections to O(a^2) lattice artifacts

Balog, Janos, Niedermayer, Ferenc, Weisz, Peter

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We compute logarithmic corrections to the O(a^2) lattice artifacts for a class of lattice actions for the non-linear O(n) sigma-model in two dimensions.

The generic leading artifacts are of the form $a^2[\ln(a^2)]^{(n/(n-2))}$.
We also compute the next-to-leading corrections and show that for the case n=3 the resulting expressions describe well the lattice artifacts in the step scaling function, which are in a large range of the cutoff apparently of the form O(a).
An analogous computation should, if technically possible, accompany any precision measurements in lattice QCD.

Built on

J. Balog, A. Hegedus, J. Phys. A37
1903
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E. Brézin, J. Zinn-Justin, J. C. Le Guillou, Phys. Rev. D14
Original
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Earlier work this paper cites.
K. Symanzik, DESY79/76 (Cargèse lecture, 1979)
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K. Symanzik, Nucl. Phys. B226
1983
Earlier work this paper cites.

Similar

B. Berg, S. Meyer, I. Montvay, K. Symanzik, Phys. Lett. B126
1983
Cited alongside, same era.
M. Lüscher, P. Weisz, U. Wolff, Nucl. Phys. B359
1991
Cited alongside, same era.
M. Hasenbusch, P. Hasenfratz, F. Niedermayer, B. Seefeld, U. Wolff, Nucl. Phys. Proc. Suppl. 106
2002
Cited alongside, same era.
K. Symanzik, Some Topics In Quantum Field Theory,
Cited in the paper.
J. Balog, F. Niedermayer, P. Weisz, in preparation
Cited in the paper.

Then

P. Hasenfratz, Nucl. Phys. Proc. Suppl. 106
2002
Later among the works it cites.
F. Knechtli, B. Leder, U. Wolff, Nucl. Phys. B726
2005
Later among the works it cites.
J. Balog, F. Knechtli, B. Leder, U. Wolff, PoS LAT205:253:2006
2006
Later among the works it cites.

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