Built on

G. P. Lepage, The analysis of algorithms for lattice field theory
1989
Earlier work this paper cites.
M. Lüscher, P. Weisz, and U. Wolff, A numerical method to compute the running coupling in asymptotically free theories
1991
Earlier work this paper cites.
R. Sommer, A new way to set the energy scale in lattice gauge theories and its applications to the static force and α s \alpha_{s} in SU(2) Yang-Mills theory
1994
Earlier work this paper cites.
C. W. Bernard, T. Burch, K. Orginos, D. Toussaint, T. A. DeGrand, et al., The Static quark potential in three flavor QCD
2000
Earlier work this paper cites.
A. Hasenfratz and F. Knechtli, Flavor symmetry and the static potential with hypercubic blocking
2001
Earlier work this paper cites.
S. Necco and R. Sommer, The N(f) = 0 heavy quark potential from short to intermediate distances
2002
Earlier work this paper cites.
M. Della Morte, A. Shindler, and R. Sommer, On lattice actions for static quarks
2005
Earlier work this paper cites.
QCDSF/UKQCD Collaboration
2006
Earlier work this paper cites.
HPQCD Collaboration, UKQCD Collaboration
Original
2008
Earlier work this paper cites.
M. Lüscher, Computational Strategies in Lattice QCD
Original
2009
Earlier work this paper cites.
F. Jegerlehner and A. Nyffeler, The Muon g-2
Original
2009
Earlier work this paper cites.
B. Blossier, M. Della Morte, G. von Hippel, T. Mendes, and R. Sommer, On the generalized eigenvalue method for energies and matrix elements in lattice field theory
Original
2009
Earlier work this paper cites.
[ETM 09], B. Blossier, et al., Pseudoscalar decay constants of kaon and D-mesons from N f = 2 N_{f}=2 twisted mass Lattice QCD
Original
2009
Earlier work this paper cites.

Similar

ETM Collaboration
Original
2009
Cited alongside, same era.
C. Davies, C. McNeile, E. Follana, G. Lepage, H. Na, et al., Update: Precision D s D_{s} decay constant from full lattice QCD using very fine lattices
Original
2010
Cited alongside, same era.
PACS-CS Collaboration
Original
2010
Cited alongside, same era.
MILC collaboration
Original
2010
Cited alongside, same era.
M. Lüscher, Properties and uses of the Wilson flow in lattice QCD
Original
2010
Cited alongside, same era.

Then

D. Bernecker and H. B. Meyer, Vector Correlators in Lattice QCD: Methods and applications
Original
2011
Later among the works it cites.
M. Donnellan, F. Knechtli, B. Leder, and R. Sommer, Determination of the Static Potential with Dynamical Fermions
Original
2011
Later among the works it cites.
M. Lüscher and P. Weisz, Perturbative analysis of the gradient flow in non-abelian gauge theories
Original
2011
Later among the works it cites.
S. Dürr, Z. Fodor, C. Hoelbling, S. Katz, S. Krieg, et al., Lattice QCD at the physical point: Simulation and analysis details
Original
2011
Later among the works it cites.
P. Fritzsch, F. Knechtli, B. Leder, M. Marinkovic, S. Schaefer, et al., The strange quark mass and Lambda parameter of two flavor QCD

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2014

Scale setting in lattice QCD

Sommer, Rainer

Understand

The principles of scale setting in lattice QCD as well as the advantages and disadvantages of various commonly used scales are discussed.

After listing criteria for good scales, I concentrate on the main presently used ones with an emphasis on scales derived from the Yang-Mills gradient flow.
For these I discuss discretisation errors, statistical precision and mass effects.
A short review on numerical results also brings me to an unpleasant disagreement which remains to be explained.

Built on

G. P. Lepage, The analysis of algorithms for lattice field theory
1989
Earlier work this paper cites.
M. Lüscher, P. Weisz, and U. Wolff, A numerical method to compute the running coupling in asymptotically free theories
1991
Earlier work this paper cites.
R. Sommer, A new way to set the energy scale in lattice gauge theories and its applications to the static force and α s \alpha_{s} in SU(2) Yang-Mills theory
1994
Earlier work this paper cites.
C. W. Bernard, T. Burch, K. Orginos, D. Toussaint, T. A. DeGrand, et al., The Static quark potential in three flavor QCD
2000
Earlier work this paper cites.
A. Hasenfratz and F. Knechtli, Flavor symmetry and the static potential with hypercubic blocking
2001
Earlier work this paper cites.
S. Necco and R. Sommer, The N(f) = 0 heavy quark potential from short to intermediate distances
2002
Earlier work this paper cites.
M. Della Morte, A. Shindler, and R. Sommer, On lattice actions for static quarks
2005
Earlier work this paper cites.
QCDSF/UKQCD Collaboration
2006
Earlier work this paper cites.
HPQCD Collaboration, UKQCD Collaboration
Original
2008
Earlier work this paper cites.
M. Lüscher, Computational Strategies in Lattice QCD
Original
2009
Earlier work this paper cites.
F. Jegerlehner and A. Nyffeler, The Muon g-2
Original
2009
Earlier work this paper cites.
B. Blossier, M. Della Morte, G. von Hippel, T. Mendes, and R. Sommer, On the generalized eigenvalue method for energies and matrix elements in lattice field theory
Original
2009
Earlier work this paper cites.
[ETM 09], B. Blossier, et al., Pseudoscalar decay constants of kaon and D-mesons from N f = 2 N_{f}=2 twisted mass Lattice QCD
Original
2009
Earlier work this paper cites.