Renormalization group flow of SU(3) lattice gauge theory. Numerical studies in a two coupling space

Forcrand, Philippe de; Pérez, Margarita Garcı́a; Hashimoto, T.; Hioki, S.; Matsufuru, Hideo; Miyamura, O.; Nakamura, Atsushi; Stamatescu, Ion-Olimpiu; Takaishi, Tetsuya; Umeda, T.

doi:10.1016/s0550-3213(00)00145-0

Cited by 102 publications

(38 citation statements)

References 30 publications

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“…In generating the former set we used the rectangular-improved DBW2 gauge action [9,10]. The gauge coupling is set at 0.8 and the lattice cut off turned out to be about 1.7 GeV [11].…”

Section: Rbc and Rbc/uk Dynamical Dwf Ensemblesmentioning

confidence: 99%

Nucleon structure in lattice QCD with dynamical domain-wall fermions quarks

Lin

Ohta²

2006

Proceedings of XXIVth International Symposium on Lattice Field Theory — PoS(LAT2006)

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RBC and RBC/UKQCD CollaborationsWe report RBC and RBC/UKQCD lattice QCD numerical calculations of nucleon electroweak matrix elements with dynamical domain-wall fermions (DWF) quarks. The first, RBC, set of dynamical DWF ensembles employs two degenerate flavors of DWF quarks and the DBW2 gauge action. Three sea quark mass values of 0.04, 0.03 and 0.02 in lattice units are used with about 200 gauge configurations each. The lattice cutoff is a −1 ∼ 1.7GeV and the spatial volume is about (1.9fm) 3 . Despite the small volume, the ratio of the isovector vector and axial charges g A /g V and that of structure function moments x u−d / x ∆u−∆d are in agreement with experiment, and show only very mild quark mass dependence. The second, RBC/UK, set of ensembles employs one strange and two degenerate (up and down) dynamical DWF quarks and Iwasaki gauge action. The strange quark mass is set at 0.04, and three up/down mass values of 0.03, 0.02 and 0.01 in lattice units are used. The lattice cutoff is a −1 ∼ 1.6GeV and the spatial volume is about (3.0fm) 3 . Even with preliminary statistics of 25-30 gauge configurations, the ratios g A /g V and x u−d / x ∆u−∆d are consistent with experiment and show only very mild quark mass dependence. Another structure function moment, d 1 , though yet to be renormalized, appears small in both sets.

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“…In generating the former set we used the rectangular-improved DBW2 gauge action [9,10]. The gauge coupling is set at 0.8 and the lattice cut off turned out to be about 1.7 GeV [11].…”

Section: Rbc and Rbc/uk Dynamical Dwf Ensemblesmentioning

confidence: 99%

Nucleon structure in lattice QCD with dynamical domain-wall fermions quarks

Lin

Ohta²

2006

Proceedings of XXIVth International Symposium on Lattice Field Theory — PoS(LAT2006)

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“…We compare the spectral properties for three different pure-gauge actions: the standard plaquette action and the Iwasaki [20,21] and DBW2 [22,23] actions, two gauge actions motivated by renormalization-group considerations. These gauge actions have been used in quenched [24,25] and dynamical [26] DWF simulations, and in quenched overlap simulations [27,28].…”

Section: Introductionmentioning

confidence: 99%

Localization properties of lattice fermions with plaquette and improved gauge actions

2005

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We determine the location λ c of the mobility edge in the spectrum of the hermitian Wilson operator in pure-gauge ensembles with plaquette, Iwasaki, and DBW2 gauge actions. The results allow mapping a portion of the (quenched) Aoki phase diagram. We use Green function techniques to study the localized and extended modes. Where λ c > 0 we characterize the localized modes in terms of an average support length and an average localization length, the latter determined from the asymptotic decay rate of the mode density. We argue that, since the overlap operator is commonly constructed from the Wilson operator, its range is set by the value of λ −1 c for the Wilson operator. It follows from our numerical results that overlap simulations carried out with a cutoff of 1 GeV, even with improved gauge actions, could be afflicted by unphysical degrees of freedom as light as 250 MeV.

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“…Although there are other proposals for improvements of the gauge action [11,12,13,14,15,16,17], they do not keep any topological structures. In this sense Lüscher's action combined with Ginsparg-Wilson fermion action would be the best choice to investigate chiral symmetries on the lattice.…”

Section: Introductionmentioning

confidence: 99%

Lattice study of the massive Schwinger model with aθterm under Lüscher’s “admissibility” condition

Fukaya

Onogi

2003

Phys. Rev. D

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Lüscher's "admissibility" condition on the gauge field space plays an essential role in constructing lattice gauge theories which has exact chiral symmetries. We apply the gauge action proposed by Lüscher with the domain-wall fermion action to the numerical simulation of the massive Schwinger model. We find this action can generate configurations in each topological sector separately without any topology changes. By developing a new method to sum over different topological sectors, we calculate meson masses in nonzero-θ vacuum.

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Renormalization group flow of SU(3) lattice gauge theory. Numerical studies in a two coupling space

Cited by 102 publications

References 30 publications

Nucleon structure in lattice QCD with dynamical domain-wall fermions quarks

Nucleon structure in lattice QCD with dynamical domain-wall fermions quarks

Localization properties of lattice fermions with plaquette and improved gauge actions

Lattice study of the massive Schwinger model with aθterm under Lüscher’s “admissibility” condition

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