Problems on Lattice Gauge Fixing

Giusti, Leonardo; Paciello, M.L.; Petrarca, S.; Taglienti, B.; Parrinello, C.

doi:10.1142/s0217751x01004281

Cited by 92 publications

(112 citation statements)

References 175 publications

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“…We obtain α MS s (m 2 Z 0 ) = 0.1198(9) and α MS s (m 2 Z 0 ) = 0.1203(11) with, again, our 2 estimates of Λ MS ; combining both results and adding in quadrature the errors we get α MS s (m 2 Z 0 ) = 0.1200 (14). We have shown in Fig.8 a comparison between lattice results [8], [19] and [4], DIS data [20], the world average quoted by the Particle Data Group [21] (WA '12) and a world average realised by replacing the N f = 2 + 1 lattice results by the N f = 2 + 1 + 1 one (WA' '12), theoretically more reliable.…”

Section: α S From Numerical Simulationssupporting

confidence: 67%

Lattice measurement of αs with a realistic charm quark

Blossier

Boucaud

Brinet

et al. 2013

Nuclear Physics B - Proceedings Supplements

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We report on an estimate of α s , renormalised in the MS scheme at the τ and Z 0 mass scales, by means of lattice QCD. Our major improvement compared to previous lattice calculations is that, for the first time, no perturbative treatment at the charm threshold has been required since we have used statistical samples of gluon fields built by incorporating the vacuum polarisation effects of u/d, s and c sea quarks. Extracting α s in the Taylor scheme from the lattice measurement of the ghost-ghost-gluon vertex, we obtain α MS s (m 2 Z ) = 0.1200(14) and α MS s (m 2 τ ) = 0.339(13).

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Section: α S From Numerical Simulationssupporting

confidence: 67%

Lattice measurement of αs with a realistic charm quark

Blossier

Boucaud

Brinet

et al. 2013

Nuclear Physics B - Proceedings Supplements

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“…On the other hand, if local minima are considered, one faces the problem that different numerical gauge-fixing algorithms yield different sets of local minima, i.e. they sample different configurations from the region delimited by the first Gribov horizon (see for example [44] and references therein). This implies that numerical results using gauge fixing could depend on the gauge-fixing algorithm, making their interpretation conceptually difficult.…”

Section: Minimal Landau Gaugementioning

confidence: 99%

Propagators and running coupling from SU(2) lattice gauge theory

et al. 2004

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We perform numerical studies of the running coupling constant α R (p 2 ) and of the gluon and ghost propagators for pure SU (2) lattice gauge theory in the minimal Landau gauge. Different definitions of the gauge fields and different gauge-fixing procedures are used respectively for gaining better control over the approach to the continuum limit and for a better understanding of Gribov-copy effects. We find that the ghost-ghost-gluon-vertex renormalization constant is finite in the continuum limit, confirming earlier results by all-order perturbation theory. In the low momentum regime, the gluon form factor is suppressed while the ghost form factor is divergent. Correspondingly, the ghost propagator diverges faster than 1/p 2 and the gluon propagator appears to be finite. Precision data for the running coupling α R (p 2 ) are obtained. These data are consistent with an IR fixed point given by lim p→0 α R (p 2 ) = 5(1).

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“…Undoubtedly, it would be very difficult to perform an unbiased averaging over the Gribov copies [36]. On the other hand, is such averaging really needed if we study a short distance (∝ 1/µ) problem?…”

Section: Renormalizationmentioning

confidence: 99%