Gluon propagators in maximally Abelian gauge in SU(3) lattice QCD

Gongyo, Shinya; Suganuma, Hideo

doi:10.1103/physrevd.87.074506

Cited by 32 publications

(39 citation statements)

References 96 publications

(116 reference statements)

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“…For the results of numerical simulations for SU(3) Yang-Mills theory in the MA gauge, see e.g., [89,90,91,92,93,94,95,96]. However, we do not necessarily need to consider the maximal breaking SU(N) → U(1) N −1 , although the maximal torus group is desirable as a gauge group of the low-energy effective Abelian gauge theory [53].…”

Section: Abelian Dominance and Magnetic Monopole Dominancementioning

confidence: 99%

“…The rapid disappearance of X contribution in the long distance is helpful to understand the difference of the profile of the flux tube in Fig.55. In order to perform the parameter fitting of We use σ phys = (440MeV ) 2 to obtain preliminary result: 203) which should be compared with result of the maximal option [147] in LLG, and also result of the Abelian projection in the MA gauge [91,94,95]. For more preliminary results of numerical simulations, see [150] for magnetic monopoles of SU(2), [147] for the maximal option of SU(3) and [151,148] for the minimal one of SU(3).…”

Section: Gluon Propagatorsmentioning

confidence: 99%

See 1 more Smart Citation

Quark confinement: Dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang–Mills theory

et al. 2015

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The purpose of this paper is to review the recent progress in understanding quark confinement. The emphasis of this review is placed on how to obtain a manifestly gauge-independent picture for quark confinement supporting the dual superconductivity in the Yang-Mills theory, which should be compared with the Abelian projection proposed by 't Hooft. The basic tools are novel reformulations of the YangMills theory based on change of variables extending the decomposition of the SU(N) Yang-Mills field due to Cho, Duan-Ge and Faddeev-Niemi, together with the combined use of extended versions of the Diakonov-Petrov version of the non-Abelian Stokes theorem for the SU(N) Wilson loop operator.Moreover, we give the lattice gauge theoretical versions of the reformulation of the Yang-Mills theory which enables us to perform the numerical simulations on the lattice. In fact, we present some numerical evidences for supporting the dual superconductivity for quark confinement. The numerical simulations include the derivation of the linear potential for static interquark potential, i.e., non-vanishing string tension, in which the "Abelian" dominance and magnetic monopole dominance are established, confirmation of the dual Meissner effect by measuring the chromoelectric flux tube between quark-antiquark pair, the induced magnetic-monopole current, and the type of dual superconductivity, etc. In addition, we give a direct connection between the topological configuration of the Yang-Mills field such as instantons/merons and the magnetic monopole.We show especially that magnetic monopoles in the Yang-Mills theory can be constructed in a manifestly gauge-invariant way starting from the gauge-invariant Wilson loop operator and thereby the contribution from the magnetic monopoles can be extracted from the Wilson loop in a gauge-invariant way through the non-Abelian Stokes theorem for the Wilson loop operator, which is a prerequisite for exhibiting magnetic monopole dominance for quark confinement. The Wilson loop average is calculated according to the new reformulation written in terms of new field variables obtained from the original Yang-Mills field based on change of variables. The Maximally Abelian gauge in the original Yang-Mills theory is also reproduced by taking a specific gauge fixing in the reformulated Yang-Mills theory. This observation justifies the preceding results obtained in the maximal Abelian gauge at least for gaugeinvariant quantities for SU(2) gauge group, which eliminates the criticism of gauge artifact raised for the Abelian projection. The claim has been confirmed based on the numerical simulations.However, for SU(N) (N ≥ 3), such a gauge-invariant reformulation is not unique, although the extension along the line proposed by Cho, Faddeev and Niemi is possible. In fact, we have found that there are a number of possible options of the reformulations, which are discriminated by the maximal stability 1 groupH of G, while there is a unique option ofH = U(1) for G = SU(2). The maximal stability group depends...

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Section: Abelian Dominance and Magnetic Monopole Dominancementioning

confidence: 99%

Section: Gluon Propagatorsmentioning

confidence: 99%

Quark confinement: Dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang–Mills theory

et al. 2015

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“…(95) and (96), we see that the propagator of the Abelian component of the scalar field displays the same features observed for the tree-level propagator of the scalar field in the linear covariant and Curci-Ferrari gauges, Eqs. (78), (78).…”

Section: Maximal Abelian Gaugementioning

confidence: 99%

A non-perturbative study of matter field propagators in Euclidean Yang–Mills theory in linear covariant, Curci–Ferrari and maximal Abelian gauges

et al. 2017

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In this work, we study the propagators of matter fields within the framework of the refined GribovZwanziger theory, which takes into account the effects of the Gribov copies in the gauge-fixing quantization procedure of Yang-Mills theory. In full analogy with the pure gluon sector of the refined Gribov-Zwanziger action, a non-local long-range term in the inverse of the FaddeevPopov operator is added in the matter sector.

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“…[35]. We wish to consider the former since it has been related to a possible effective gluon mass [36][37][38] that has been seemingly found in several other analytical calculations [39][40][41][42][43][44][45][46] and in numerical and lattice calculations [37,38,[47][48][49][50][51]. Our departing point therefore is the NJL of Ref.…”

Section: Introduction and Extended Nambu-jona-lasinio Model From Qcdmentioning

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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Gluon propagators in maximally Abelian gauge in SU(3) lattice QCD

Cited by 32 publications

References 96 publications

Quark confinement: Dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang–Mills theory

Quark confinement: Dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang–Mills theory

A non-perturbative study of matter field propagators in Euclidean Yang–Mills theory in linear covariant, Curci–Ferrari and maximal Abelian gauges

Vacuum polarization corrections to low energy quark effective couplings

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