The density of monopoles in SU(2) lattice gauge theory

Bornyakov, V. G.; Ilgenfritz, E. M.; Laursen, M.L.; Mitrjushkin, V.K.; Müller–Preussker, M.; Sijs, A.J. van der; Zadorozhny, A. M.

doi:10.1016/0370-2693(91)91335-s

Cited by 51 publications

(53 citation statements)

References 20 publications

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“…One example are the flow equation of the Functional Renormalization Group (FRG, aka Wetterich equation [24]), another the bound-state and Dyson-Schwinger equations (DSEs) of QCD. 3 As the lattice, both these approaches start from first principles, namely the effective average action and the partition function, respectively, but in addition they require a gauge. Any physics extracted with either method is independent of the gauge, for example, masses or form factors via correspondingly defined bound-state equations.…”

Section: Gauge-variant Green's Functions Of Qcdmentioning

confidence: 99%

QCD propagators and vertices from lattice QCD (in memory of Michael Müller-Preußker)

Sternbeck

2017

EPJ Web Conf.

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Abstract. We review lattice calculations of the elementary Greens functions of QCD with a special emphasis on the Landau gauge. These lattice results have been of interest to continuum approaches to QCD over the past 20 years. They are used as reference for Dyson-Schwinger-and functional renormalization group equation calculations as well as for hadronic bound state equations. The lattice provides low-energy data for propagators and three-point vertices in Landau gauge at zero and finite temperature even including dynamical fermions. We summarize Michael Müller-Preußker's important contributions to this field and put them into the perspective of his other research interests.

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Section: Gauge-variant Green's Functions Of Qcdmentioning

confidence: 99%

QCD propagators and vertices from lattice QCD (in memory of Michael Müller-Preußker)

Sternbeck

2017

EPJ Web Conf.

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“…In addition, the copy with largest functional among all OSA3 copies has been chosen on each configuration as our best estimate of the "true" maximum (circles). From this potential we obtain K ab best = .0478 (38) as an estimate of the abelian string tension 3 . From Fig.…”

Section: Tuning the Gauge Fixing Algorithmmentioning

confidence: 99%

Dual superconductor scenario of confinement: A systematic study of Gribov copy effects

et al. 1996

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We perform a study of the effects from maximal abelian gauge Gribov copies in the context of the dual superconductor scenario of confinement, on the basis of a novel approach for estimation of systematic uncertainties from incomplete gauge fixing. We present numerical results, in SU (2) lattice gauge theory, using the overrelaxed simulated annealing gauge fixing algorithm. We find abelian and non-abelian string tensions to differ significantly, their ratio being 0.92(4) at β = 2.5115. An approximate factorization of the abelian potential into monopole and photon contributions has been confirmed, the former giving rise to the abelian string tension.

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“…Unambiguous computation of the gauge fixed configuration is impossible, and certain quantities such as the monopole density are fairly sensitive to this ambiguity [ 7,8]. One would like to have a smooth gauge without lattice Gribov problem.…”

Section: Introductionmentioning

confidence: 99%