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We study the quark mass function on hypercubic lattices, in a large range of physical volumes and cutoffs.
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Nonperturbative determination of the axial current normalization constant in 𝒪 ( a ) {\cal O}(a) improved lattice QCD. M. Lüscher, S. Sint, R.. Sommer, H. Wittig. Published in Nucl.Phys.B491 :344-364, 1997. e-Print : hep-lat/9611015
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The four loop quark mass anomalous dimension and the invariant quark mass. J.A.M. Vermaseren, S.A. Larin, T. van Ritbergen. Published in Phys.Lett.B405 :327-333, 1997. e-Print : hep-ph/9703284
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Quark mass anomalous dimension to 𝒪 ( α s 4 ) {\cal O}(\alpha_{s}^{4}) . K.G. Chetyrkin. Published in Phys.Lett.B404 :161-165,1997. e-Print : hep-ph/9703278
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Quenched results for light quark physics with overlap fermions. L. Giusti, C. Hoelbling, C. Rebbi. Published in Nucl.Phys.Proc.Suppl.106 :739-747, 2002. e-Print : hep-lat/0110184
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Quark propagator and vertex : Systematic corrections of hypercubic artifacts from lattice simulations. P. Boucaud , F. de Soto , J.-P. Leroy, A. Le Yaouanc, J. Micheli, H. Moutarde, O. Pène, J. Rodríguez-Quintero. Published in Phys.Lett.B575 :256-267, 2003. e-Print : hep-lat/0307026
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Among a very important series of articles, we quote : Chiral symmetry breaking at large N(c). R. Narayanan, H. Neuberger. Published in Nucl.Phys.B696 :107-140, 2004. e-Print : hep-lat/0405025
2004
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Scaling behavior of the overlap quark propagator in Landau gauge. By CSSM Lattice collaboration (J.B. Zhang et al.). Published in Phys.Rev.D70 :034505, 2004. e-Print : hep-lat/0301018
2004
Later among the works it cites.
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JLQCD, Nonperturbative determination of quark masses in quenched lattice QCD with the Kogut-Susskind fermion action. By JLQCD Collaboration (S. Aoki et al.). Published in Phys.Rev.Lett.82 :4392-4395,1999. e-Print : hep-lat/9901019
1999
Cited alongside, same era.
Pseudoscalar vertex, Goldstone boson and quark masses on the lattice. J.-R. Cudell, A. Le Yaouanc, C. Pittori. Published in Phys.Lett.B454 :105-114,1999. e-Print : hep-lat/9810058
1999
Cited alongside, same era.
A study of chiral symmetry in quenched QCD using the overlap Dirac operator. R. G. Edwards, U. M. Heller, R. Narayanan. Published in Phys.Rev.D59 :094510, 1999. e-Print : hep-lat/9811030
1999
Cited alongside, same era.
Pseudoscalar vertex and quark masses. J.-R. Cudell, A. Le Yaouanc, C. Pittori. Talk given at 17th International Symposium on Lattice Field Theory (LATTICE 99), Pisa, Italy, 29 Jun - 3 Jul 1999. Published in Nucl.Phys.Proc.Suppl.83 :890-892,2000
2000
Cited alongside, same era.
Wilson Expansion of QCD Propagators at Three Loops : Operators of Dimension Two and Three, by K.G. Chetyrkin, A. Maier e-Print : arXiv :0911.0594
Cited in the paper.
Andreas Maier, Diplomarbeit, Anhang B, B.2. Impulsraumergebnisse
Cited in the paper.
On the reduction of hypercubic lattice artifacts. F. de Soto, C. Roiesnel. e-Print : arXiv :0705.3523 [hep-lat]
Cited in the paper.
Three loop three linear vertices and four loop M O M ~ {\widetilde{MOM}} beta functions in massless QCD. K.G. Chetyrkin, A. Retey. e-Print : hep-ph/0007088
Cited in the paper.
Estimate of the chiral condensate in quenched lattice QCD. D. Becirevic, V. Lubicz. Published in Phys.Lett.B600 :83-90, 2004. e-Print : hep-ph/0403044
2004
Later among the works it cites.
Artefacts and ⟨ A 2 ⟩ \langle A^{2}\rangle power corrections : Revisiting the MOM Z ψ ( p 2 ) Z_{\psi}(p^{2}) and Z(V). P. Boucaud, F. de Soto, J.-P. Leroy, A. Le Yaouanc, J. Micheli, H. Moutarde, O. Pène, J. Rodríguez-Quintero. Published in Phys.Rev.D74 :034505,2006. e-Print : hep-lat/0504017
2006
Later among the works it cites.
Non-perturbative power corrections to ghost and gluon propagators. Ph. Boucaud, J.-P. Leroy, A. Le Yaouanc, A.Y. Lokhov, J. Micheli, O. Pène, J. Rodríguez-Quintero, C. Roiesnel. Published in JHEP 0601 :037, 2006. e-Print : hep-lat/0507005
2006
Later among the works it cites.
Ph. Boucaud, F. De Soto, J.-P. Leroy, A. Le Yaouanc, J. Micheli, O. Pène and J. Rodríguez-Quintero, Phys. Rev. D 79
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