Lattice Results on Gluon and Ghost Propagators in Landau Gauge

Bogolubsky, I.L.; Bornyakov, V. G.; Burgio, Giuseppe; Ilgenfritz, Ernst-Michael; Miiller-Preussker, M.; Mitrjushkin, V.K.

doi:10.1142/9789812837592_0052

Cited by 24 publications

(36 citation statements)

References 12 publications

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“…At least for one of the decoupling-type solutions the latter question can be answered by yes. It is found equally well in one particular Landau-B gauge [10] and in the minimal Landau gauge [1,15,16]. Also, the absolute Landau gauge appears to show a decoupling behavior [11], in contrast to the original expectations [7,8].…”

Section: Scaling and Decoupling Or Why There Could Be Place For More mentioning

confidence: 74%

“…At the current time, such a one-parameter-family is found using Landau-B gauges, but this is only obtained for rather small lattices and coarse discretizations [10]. To study this further is mandatory, given the experience with the minimal Landau gauge [1,15,16]. But it also motivates that the family could be contained in the first Gribov region.…”

Section: Scaling and Decoupling Or Why There Could Be Place For More mentioning

confidence: 99%

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Properties of gauge orbits

Maas¹

2011

Proceedings of the XXVIII International Symposium on Lattice Field Theory — PoS(Lattice 2010)

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Gauge fixing is a useful tool to simplify calculations. It is also valuable to combine different methods, in particular lattice and continuum methods. However, beyond perturbation theory the Gribov-Singer ambiguity requires further gauge conditions for a well-defined gauge-fixing prescription. Different additional conditions can, in principle, lead to different results for gaugedependent correlation functions, as will be discussed for the example of Landau gauge. Also the relation of lattice and continuum gauge fixing beyond perturbation theory will be briefly outlined.

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Section: Scaling and Decoupling Or Why There Could Be Place For More mentioning

confidence: 74%

Section: Scaling and Decoupling Or Why There Could Be Place For More mentioning

confidence: 99%

Properties of gauge orbits

Maas¹

2011

Proceedings of the XXVIII International Symposium on Lattice Field Theory — PoS(Lattice 2010)

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“…Furthermore, it is also known, that effects from Gribov copies influence the ghost propagator much stronger than the glue [17,19]. Finally, very recent lattice results allowing a wider class of gauge transformations in the minimisation procedure [13] tend to result in an additional suppression of the gluon propagator at low momenta, which is observed already in rather moderate volumes of V = (6.5 fm) 4 .…”

Section: Epiloguementioning

confidence: 94%

“…On the lattice the verification of the relations (1.2) in gauge fixed calculations turned out to be extremely cumbersome, for latest results see [11,12,13,14,15,16,17,18,19,20]. To extract information on the power laws (1.2) from studies on a finite volume it is most important to address the volume dependence of the long-range behaviour of these correlations.…”

Section: G(pmentioning

confidence: 99%

Large volume behaviour of Yang-Mills propagators

Fischer¹,

Alkofer²,

Maas³

et al. 2008

Proceedings of the XXV International Symposium on Lattice Field Theory — PoS(LATTICE 2007)

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We summarise results on finite-volume effects in the propagators of Landau gauge Yang-Mills theory using Dyson-Schwinger equations on a 4-dimensional torus. We demonstrate explicitly how the solutions for the gluon and the ghost propagator tend towards their respective infinite volume forms in the corresponding limit. We discuss the relation of our solutions with results from lattice Monte-Carlo simulations.

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“…These latter results on the running coupling give a strong clue that Yang-Mills theory is trivial as happens for the scalar field theory. Lattice computations give also results on the propagators [21,22,23]. These show that the ghost is very near the free particle case while the gluon propagator reaches a finite value at zero momentum.…”

mentioning

confidence: 99%

Yang-Mills Propagators and QCD

Frasca¹

2009

Nuclear Physics B - Proceedings Supplements

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We present a strong coupling expansion that permits to develop analysis of quantum field theory in the infrared limit. Application to a quartic massless scalar field gives a massive spectrum and the propagator in this regime. We extend the approach to a pure Yang-Mills theory obtaining analogous results. The gluon propagator is compared satisfactorily with lattice results and similarly for the spectrum. Comparison with experimental low energy spectrum of QCD supports the view that $\sigma$ resonance is indeed a glueball. The gluon propagator we obtained is finally used to formulate a low energy Lagrangian for QCD that reduces to a Nambu-Jona-Lasinio model with all the parameters fixed by those of the full theory.Comment: 4 pages, 1 figure. Contribution to proceedings of QCD 08 Conference, (Montpellier, France, July 7-12, 2008). Modified enunciation of the mapping theore

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Lattice Results on Gluon and Ghost Propagators in Landau Gauge

Cited by 24 publications

References 12 publications

Properties of gauge orbits

Properties of gauge orbits

Large volume behaviour of Yang-Mills propagators

Yang-Mills Propagators and QCD

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