Facets of confinement and dynamical chiral symmetry breaking

Maris, Pieter; Raya, Alfredo; Roberts, C. D.; Schmidt, S.

doi:10.1140/epja/i2002-10206-6

Cited by 69 publications

(95 citation statements)

References 28 publications

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“…The model-dependence is mainly restricted to infrared momenta but on this domain, too, there is good agreement with QCD; e.g., the gap equation solutions are in semiquantitative agreement [34] with numerical simulations of lattice-regularised quenched-QCD. (NB.…”

Section: Closer To Qcdmentioning

confidence: 67%

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Dynamical chiral symmetry breaking and a critical mass

et al. 2007

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On a bounded, measurable domain of non-negative current-quark mass, realistic models of QCD's gap equation can simultaneously admit two inequivalent dynamical chiral symmetry breaking (DCSB) solutions and a solution that is unambiguously connected with the realisation of chiral symmetry in the Wigner mode. The Wigner solution and one of the DCSB solutions are destabilised by a current-quark mass and both disappear when that mass exceeds a critical value. This critical value also bounds the domain on which the surviving DCSB solution possesses a chiral expansion. This value can therefore be viewed as an upper bound on the domain within which a perturbative expansion in the current-quark mass around the chiral limit is uniformly valid for physical quantities. For a pseudoscalar meson constituted of equal mass current-quarks, it corresponds to a mass m 0 − ∼ 0.45 GeV. In our discussion we employ properties of the two DCSB solutions of the gap equation that enable a valid definition of qq in the presence of a nonzero current-mass. The behaviour of this condensate indicates that the essentially dynamical component of chiral symmetry breaking decreases with increasing current-quark mass.

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Section: Closer To Qcdmentioning

confidence: 67%

“…(34). Moreover, the Nambu solution characterised by M + (p 2 ) evolves smoothly for all values of the current-quark mass.…”

Section: Closer To Qcdmentioning

confidence: 83%

Dynamical chiral symmetry breaking and a critical mass

et al. 2007

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“…Such kernels are developed in the rainbow-ladder approximation, which is the leading-order in a systematic and global-symmetry-preserving truncation scheme [29,30]; and their model input is expressed via a statement about the nature of the gap equation's kernel at infrared momenta. With a single parameter that expresses a confinement length-scale or strength [31,32], they have successfully described and predicted numerous properties of vector [32][33][34][35][36] and pseudoscalar mesons [32,[35][36][37][38][39][40] with masses less than 1 GeV, and ground-state baryons [41][42][43][44]. Such kernels are also reliable for ground-state heavy-heavy mesons [45].…”

Section: B Contact Interactionmentioning

confidence: 99%

Electric dipole moment of theρmeson

et al. 2013

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At an hadronic scale the effect of CP-violating interactions that typically appear in extensions of the Standard Model may be described by an effective Lagrangian, in which the operators are expressed in terms of lepton and partonic gluon and quark fields, and ordered by their mass dimension, k ≥ 4. Using a global-symmetry-preserving truncation of QCD's Dyson-Schwinger equations, we compute the ρ-meson's electric dipole moment (EDM), dρ, as generated by the leading dimensionfour and -five CP-violating operators and an example of a dimension-six four-quark operator. The two dimension-five operators; viz., quark-EDM and -chromo-EDM, produce contributions to dρ whose coefficients are of the same sign and within a factor of two in magnitude. Moreover, should a suppression mechanism be verified for the θ-term in any beyond-Standard-Model theory, the contribution from a four-quark operator can match the quark-EDM and -chromo-EDM in importance. This study serves as a prototype for the more challenging task of computing the neutron's EDM.

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“…So one has to resort to various nonperturbative QCD models. In the past few years, considerable progress has been made in the framework of the rainbow-ladder approximation of the Dyson-Schwinger (DS) approach [12][13][14][15][16][17]. Due to the great success of the rainbow-ladder approximation of the DS approach in hadron physics, the authors in Ref.…”

mentioning

confidence: 99%

“…[12][13][14][15][16][17]; viz., we retain only that piece which expresses the long-range behavior (s = k 2 ):…”

mentioning

confidence: 99%

Calculation of Tensor Susceptibility Beyond Rainbow-Ladder Approximation

et al. 2010

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In this paper, we extend the calculation of tensor vacuum susceptibility in the rainbow-ladder Ping, Phys. Lett. B 639, 248 (2006)] to that of employing the Ball-Chiu (BC) vertex. The dressing effect of the quark-gluon vertex on the tensor vacuum susceptibility is investigated. Our results show that compared with its rainbow-ladder approximation value, the tensor vacuum susceptibility obtained in the BC vertex approximation is reduced by about 10%. This shows that the dressing effect of the quark-gluon vertex is not large in the calculation of the tensor vacuum susceptibility in the DS approach.

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Facets of confinement and dynamical chiral symmetry breaking

Cited by 69 publications

References 28 publications

Dynamical chiral symmetry breaking and a critical mass

Dynamical chiral symmetry breaking and a critical mass

Electric dipole moment of theρmeson

Calculation of Tensor Susceptibility Beyond Rainbow-Ladder Approximation

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