A physical meaning of mixed gluon–ghost condensate of mass dimension two

Kondo, Keiichi

doi:10.1016/j.physletb.2003.08.024

Cited by 41 publications

(39 citation statements)

References 38 publications

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“…Here g denotes the group element. A physical meaning has also been attached to this condensate by a perturbative gauge-covariant redefinition of the gluon field [21]. Further mounting evidence for the existence and physical relevance of the dimension-2 condensate in QCD has been also gathered from the lattice calculations [22], analytic estimates [23], purely theoretical considerations [24], and microscopic approaches [25].…”

Section: Introductionmentioning

confidence: 98%

Landau-gauge condensates from the quark propagator on the lattice

2004

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We compute the dimension-2 condensate, A 2 , and dimension-4 mixed condensate, q / Aq , from the recent quenched lattice results for the quark propagator in the Landau gauge. We fit the lattice data to the Operator Product Expansion in the "fiducial" region 1.2 GeV ≤ Q ≤ 3 GeV. Our result for the dynamical gluon mass at the scale of 10 GeV 2 is mA = 600 − 650 MeV, in agreement with independent determinations. For the mixed Landau gauge condensate of dimension-4 we get αs qg / Aq = (−0.11 ± 0.03) GeV 4 . This value is an order of magnitude larger than the G 2 gluon condensate.

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Section: Introductionmentioning

confidence: 98%

Landau-gauge condensates from the quark propagator on the lattice

2004

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“…(There is a suggestion that such a condensate may be related to the presence of instantons in the vacuum [4].) The importance of that condensate raises the question of gauge invariance and there are now a large number of papers that address that and related issues [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. We will not attempt to review that large body of literature, but will consider how the presence of an < A a µ A µ a > condensate modifies the gluon propagator and the vacuum polarization function in QCD.…”

Section: Introductionmentioning

confidence: 99%

Description of gluon propagation in the presence of anA2condensate

Shakin

2005

Phys. Rev. D

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There is a good deal of current interest in the condensate < A a µ A µ a > which has been seen to play an important role in calculations which make use of the operator product expansion.That development has led to the publication of a large number of papers which discuss how that condensate could play a role in a gauge-invariant formulation. In the present work we consider gluon propagation in the presence of such a condensate which we assume to be present in the vacuum. We show that the gluon propagator has no on-mass-shell pole and, therefore, a gluon cannot propagate over extended distances. That is, the gluon is a nonpropagating mode in the gluon condensate. In the present work we discuss the properties of both the Euclidean-space and Minkowski-space gluon propagator. In the case of the Euclidean-space propagator we can make contact with the results of QCD lattice calculations of the propagator in the Landau gauge. With an appropriate choice of normalization constants, we present a unified representation of the gluon propagator that describes both the Minkowski-space and Euclidean-space dynamics in which the < A a µ A µ a > condensate plays an important role.

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“…Note that the LA gauge corresponds to a gauge in which the functional P s A 2 s is minimized. Thus the operator P s A 2 s could have a physical meaning in LA gauge [31,33] if the Gribov-copy problem is solved.…”

Section: Introductionmentioning

confidence: 99%

Vacuum type of SU(2) gluodynamics in maximally Abelian and Landau gauges

et al. 2005

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The vacuum type of SU(2) gluodynamics is studied using Monte Carlo simulations in maximally Abelian (MA) gauge and in Landau (LA) gauge, where the dual Meissner effect is observed to work. The dual Meissner effect is characterized by the coherence and the penetration lengths. Correlations between Wilson loops and electric fields are evaluated in order to measure the penetration length in both gauges. The coherence length is shown to be fixed in the MA gauge from measurements of the monopole density around the static quark-antiquark pair. It is also shown numerically that a dimension 2 gluon operator A A ÿ s and the monopole density has a strong correlation as suggested theoretically. Such a correlation is observed also between the monopole density and A 2 s A A ÿ s A 3 A 3 s condensate if the remaining U(1) gauge degree of freedom is fixed to U(1) Landau gauge (U1LA). The coherence length is determined numerically also from correlations between Wilson loops and A A ÿ s and A 2 s in MA U1LA gauge. Assuming that the same physics works in the LA gauge, we determine the coherence length from correlations between Wilson loops and A 2 s . Penetration lengths and coherence lengths in the two gauges are almost the same. The vacuum type of the confinement phase in both gauges is near to the border between the type 1 and the type 2 dual superconductors.

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A physical meaning of mixed gluon–ghost condensate of mass dimension two

Abstract: We demonstrate that a clear physical content and relevance can be attributed to the on-shell BRST-invariant mixed gluon-ghost condensate of mass dimension two which was recently proposed by the author. We argue that a gauge invariant observable is associated with the mixed condensate.

Cited by 41 publications

References 38 publications

Landau-gauge condensates from the quark propagator on the lattice

Landau-gauge condensates from the quark propagator on the lattice

Description of gluon propagation in the presence of anA2condensate

Vacuum type of SU(2) gluodynamics in maximally Abelian and Landau gauges

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