Monopoles and hadron spectrum in quenched QCD

Kitahara, Shun-ichi; Miyamura, O.; Okude, Tsuyoshi; Shoji, Fumiyoshi; Suzuki, Tsuneo

doi:10.1016/s0550-3213(98)00486-6

Cited by 16 publications

(14 citation statements)

References 22 publications

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“…In previous studies of lattice QCD, instantons have been found in QCD vacuums [40], and the relations between the instantons and Abelian monopoles have been studied [41]. The hadron masses were calculated from the background fields of Abelian monopoles [42]. The fermion zero modes have been derived from the background fields of magnetic monopoles [43,44].…”

Section: Jhep09(2020)113mentioning

confidence: 99%

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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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Section: Jhep09(2020)113mentioning

confidence: 99%

“…The monopole current k i µ in SU(3) [4,42,69] is defined on the dual site * n such that it satisfies the condition i k i µ ( * n) = 0 as follows:…”

Section: The Monopole Density and The Length Of The Monopole Loopsmentioning

confidence: 99%

Monopole and instanton effects in QCD

Hasegawa

2020

J. High Energ. Phys.

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“…It is interesting to study the influence of Abelian dominance on chiral symmetry breaking and the hadron spectrum; in [26] it has been found that SU(2) Abelian projected fields give a chiral condensate which closely resembles the results of strongly coupled gauge theory. In [27] quenched hadron spectra in Abelian gauge fields, ex-tracted by maximal Abelian projection have been studied: the ratios of the hadron mass to the square root of the string tension of the Abelian fields are similar to those of the full SU(3) theory. The authors concluded that they have found Abelian dominance (and monopole dominance) for the hadron spectra.…”

Section: Introductionmentioning

confidence: 99%

Lattice QCD Green’s functions in maximally Abelian gauge: Infrared Abelian dominance and the quark sector

Schröck

Vogt

2016

Phys. Rev. D

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Functional equations like exact renormalisation group and Dyson-Schwinger equations have contributed to a better understanding of non-perturbative phenomena in quantum field theories in terms of the underlying Green functions. In Yang-Mills theory especially the Landau gauge has been used, as it is the most accessible gauge for these methods. In the maximally Abelian gauge first results have been obtained which are very encouraging because Abelian infrared dominance has been found: The Abelian part of the gauge field propagator is enhanced at low momenta and thereby dominates the dynamics in the infrared. Also the ambiguity of two different types of solutions (decoupling and scaling) exists in both gauges. It is demonstrated how the two solutions are related in the maximally Abelian gauge. As in all two-point Dyson-Schwinger equations of the MAG the infrared dominant diagrams are sunset diagrams, in addition, a BPHZ regularisation and renormalisation of a test system with a sunset-like diagram is presented.

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“…are closely related to the Abelian monopoles defined in the maximally Abelian gauge (MAG) [1,2]. A number of arguments supports the statement that the Abelian monopoles found in the MAG are important physical fluctuations surviving the cutoff removal: scaling of the monopole density at T = 0 according to dimension 3 for infrared (percolating) cluster [3]; Abelian and monopole dominance for a number of infrared physics observables (string tension [3,4,5], chiral condensate [6], hadron spectrum [7]). It has been recently argued that the MAG is a proper Abelian gauge to find gauge invariant monopoles since t'Hooft-Polyakov monopoles can be identified in this gauge by the Abelian flux, but this is not possible in other Abelian gauges [8].…”

Section: Introductionmentioning

confidence: 87%