Lattice study of UA(1) anomaly: the role of QCD-monopoles

Sasaki, Shoichi; Miyamura, O.

doi:10.1016/s0370-2693(98)01318-5

Cited by 15 publications

(13 citation statements)

References 25 publications

(57 reference statements)

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“…Thus we have concluded that the topological nature is substantially inherited by QCD-monopoles. This conclusion is consistent with our previous study [33], which shows that QCD-monopoles strongly correlate with the presence of fermionic zero-modes in the MA gauge.…”

Section: Discussionsupporting

confidence: 94%

Topological aspect of Abelian projected SU(2) lattice gauge theory

Sasaki

Miyamura

1999

Phys. Rev. D

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We show that the hypothesis of abelian dominance allows QCD-monopoles to preserve the topological feature of the QCD vacuum within SU(2) lattice gauge theory. An analytical study is made to find the relationship between the topological charge and QCD-monopoles in the lattice formulation. The topological charge is explicitly represented in terms of the monopole current and the abelian component of gauge fields in the abelian dominated system. We numerically examine the relation and demonstrate the abelian dominance in the topological structure by using Monte Carlo simulation.

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Section: Discussionsupporting

confidence: 94%

Topological aspect of Abelian projected SU(2) lattice gauge theory

Sasaki

Miyamura

1999

Phys. Rev. D

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“…To explain this phenomenon, 't Hooft [2] and Mandelstam [3] provided a convincing description that a magnetic monopole that condenses in the QCD vacuum causes the dual Meissner effect and that color charged particles are confined. A significant number of simulations have been conducted under lattice gauge theory, and sufficient results have been obtained that support this explanation [4][5][6][7][8][9][10][11]. Thus, this scenario seems to be widely accepted.…”

Section: Jhep09(2020)113mentioning

confidence: 92%

Monopole and instanton effects in QCD

Hasegawa

2020

J. High Energ. Phys.

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We aim to show the effects of the magnetic monopoles and instantons in quantum chromodynamics (QCD) on observables; therefore, we introduce a monopole and anti-monopole pair in the QCD vacuum of a quenched SU(3) by applying the monopole creation operator to the vacuum. We calculate the eigenvalues and eigenvectors of the overlap Dirac operator that preserves the exact chiral symmetry in lattice gauge theory using these QCD vacua. We then investigate the effects of magnetic monopoles and instantons. First, we confirm the monopole effects as follows: (i) the monopole creation operator makes the monopoles and anti-monopoles in the QCD vacuum. (ii) A monopole and anti-monopole pair creates an instanton or anti-instanton without changing the structure of the QCD vacuum. (iii) The monopole and anti-monopole pairs change only the scale of the spectrum distribution without affecting the spectra of the Dirac operator by comparing the spectra with random matrix theory. Next, we find the instanton effects by increasing the number density of the instantons and anti-instantons as follows: (iv) the decay constants of the pseudoscalar increase. (v) The values of the chiral condensate, which are defined as negative numbers, decrease. (vi) The light quarks and the pseudoscalar mesons become heavy. The catalytic effect on the charged pion is estimated using the numerical results of the pion decay constant and the pion mass. (vii) The decay width of the charged pion becomes wider than the experimental result, and the lifetime of the charged pion becomes shorter than the experimental result. These are the effects of the monopoles and instantons in QCD.

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“…Recent studies show remarkable facts that instantons are directly related to monopoles [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47] in the abelian gauge, although these topological objects belong to different homotopy group. For example, in the Polyakov-like gauge [29], monopoles appear due to the existence of the hedgehog configurations near instanton centers.…”

Section: Introductionmentioning

confidence: 99%

Monopole clustering and color confinement in the multi-instanton system

1999

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We study color confinement properties of the multi-instanton system, which seems to carry an essence of the nonperturbative QCD vacuum. Here we assume that the multi-instanton system is characterized by the infrared suppression of instantons as f ()ϳ Ϫ5 for large size . We first investigate a monopole clustering appearing in the maximally Abelian ͑MA͒ gauge by considering the correspondence between instantons and monopoles. In order to clarify the infrared monopole properties, we make the ''block-spin'' transformation for monopole currents. The feature of monopole trajectories changes drastically with the instanton density. At a high instanton density, there appears one very long and highly complicated monopole loop covering the entire physical vacuum. Such a global network of long-monopole loops resembles the lattice QCD result in the MA gauge. Second, we observe that the SU(2) Wilson loop obeys an area law and the static quark potential is approximately proportional to the distance R between quark and antiquark in the multi-instanton system using the SU͑2͒ lattice with a total volume of Vϭ(10 fm) 4 and a lattice spacing of aϭ0.05 fm. We extract the string tension from the 5ϫ10 6 measurements of Wilson loops. With an instanton density of (N/V)ϭ(1/fm) 4 and an average instanton size of ϭ0.4 fm, the multi-instanton system provides a string tension of about 0.4 GeV/fm.

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Lattice study of UA(1) anomaly: the role of QCD-monopoles

Cited by 15 publications

References 25 publications

Topological aspect of Abelian projected SU(2) lattice gauge theory

Topological aspect of Abelian projected SU(2) lattice gauge theory

Monopole and instanton effects in QCD

Monopole clustering and color confinement in the multi-instanton system

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