Propagators, running coupling and condensates in lattice QCD

Cucchieri, Attilio; Mendes, Tereza

doi:10.1590/s0103-97332007000400003

Cited by 33 publications

(45 citation statements)

References 72 publications

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“…[48], considering the NJL coupling constant (g4) obtained from the effective model. This term will be also resolved in the limit of zero momentum exchange.…”

Section: Effective Quark Interactions and Coupling Constantsmentioning

confidence: 99%

Vacuum polarization corrections to low energy quark effective couplings

Paulo

Braghin

2014

Phys. Rev. D

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In this work corrections to low energy punctual effective quark couplings up to the eighth order are calculated by considering vacuum polarization effects with the scalar quark-antiquark condensate. The departing point is a QCD-based NJL model. By separating the quark field into two components, one that condenses and another one for interacting quarks, the former is integrated out with the help of usual auxiliary fields and an effective action in terms for interacting quark fields is found. The scalar auxiliary field reduces to the quark-antiquark condensate in the vacuum and the determinant is expanded in powers of the quark-antiquark bilinears generating chiral invariant effective 2N-quark interactions (N = 2, 3...). The corresponding coupling constants and effective masses are estimated, and the general trend is that for increasing the effective gluon mass the values of the effective coupling constants decrease. All the values are in good agreement with phenomenological fits.

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“…[48], considering the NJL coupling constant (g4) obtained from the effective model. This term will be also resolved in the limit of zero momentum exchange.…”

Section: Effective Quark Interactions and Coupling Constantsmentioning

confidence: 99%

Vacuum polarization corrections to low energy quark effective couplings

Paulo

Braghin

2014

Phys. Rev. D

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“…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%

“…Nowadays, lattice data for the gluon propagator are available on impressively large lattices. The authors of [12] report on an SU (2)-study on a 52 4 -lattice, whereas in [20] results from an SU (3) calculation on a 56 4 -lattice are discussed. Results on even larger lattices have been presented at this conference [27,28].…”

Section: Dyson-schwinger Equations On a Torusmentioning

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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“…pure SU (3) Yang-Mills theory] [12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30], in pure SU (2) Yang-Mills theory (in 2, 3 and 4 space-time dimensions) [31,32,33,34,35,36,37,38,39,40,41] and in full QCD [42,43,44,45]. All lattice studies in 4d suggest a finite nonzero infrared gluon propagator [20,24,26,27,42], in contradiction with the infrared Schwinger-Dyson solution.…”

Section: Introductionmentioning

confidence: 99%

Just how different are theSU(2)andSU(3)Landau-gauge propagators in the infrared regime?

et al. 2007

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Just how different are SU(2) and SU(3) Landau-gauge propagators in the IR regime?A. Cucchieri and T. Mendes The infrared behavior of gluon and ghost propagators in Yang-Mills theories is of central importance for understanding quark and gluon confinement in QCD. While simulations of pure SU (3) gauge theory correspond to the physical case in the limit of infinite quark mass, the SU (2) case (i.e. pure two-color QCD) is usually employed as a simplification, in the hope that qualitative features be the same as for the SU (3) case. Here we carry out the first comparative study of lattice (Landau) propagators for these two gauge groups. Our data were especially produced with equivalent lattice parameters in order to allow a careful comparison of the two cases. We find very good agreement between SU (2) and SU (3) propagators, showing that in the IR limit the equivalence of the two cases is quantitative, at least down to about 1 GeV. Our results suggest that the infrared behavior of these propagators is independent of the gauge group SU (Nc), as predicted by Schwinger-Dyson equations.

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Propagators, running coupling and condensates in lattice QCD

Cited by 33 publications

References 72 publications

Vacuum polarization corrections to low energy quark effective couplings

Vacuum polarization corrections to low energy quark effective couplings

Large volume behaviour of Yang-Mills propagators

Just how different are theSU(2)andSU(3)Landau-gauge propagators in the infrared regime?

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