# Strong anomaly and chiral symmetry breaking

TL;DR: In this paper, it was shown that the gluonic matrix element of the η and η' is insensitive to the standard values of the quark mass parameters in a chiral symmetry framework.

Abstract: We show, in a chiral symmetry framework, that the gluonic matrix element 〈0|F F | P 〉 of the η and η' is insensitive to the standard values of the quark mass parameters.

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TL;DR: In this article, the mixing of the glueball candidate with η and η′ was studied in a chiral symmetry breaking framework, and it was shown that the octet-singlet mixing angle is quite large.

Abstract: The mixing of the glueball candidate⇌i(1,460) with η and η′ is studied in a chiral symmetry breaking framework. Using the solutions of anomalous Ward identities for flavourU(3)×U(3), we find that the octet-singlet mixing angle is quite large and that our results are consistent with a large glueball component in⇌i(1,460) with moderate gluonium mixing in η and η′.

2 citations

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TL;DR: In this article, the SU(3) mixing of isosinglet pseudoscalar mesons was extended to SU(4) level with η, η′ and ηc mesons.

Abstract: We extend the SU(3) mixing of isosinglet pseudoscalar mesons to the SU(4) level with η, η′, ηc and ι. The quarkonium gluonium content of the physical states at the SU(4) level are being numerically estimated. We derive a mass relation at the SU(4) level taking the divergence of vector current into account and solve for the SU(4) mixing angles and decay constants using the constraints obtained from anomalous Ward identities, the mass relation, topological susceptibility, SU(4) transformation properties of pseudoscalar density, experimental data and other presently available constraints. The mixing has suggested that besides charm quark content, ηc meson has some percentage of normal and strange quarks along with gluonium as its constituents.

1 citations

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TL;DR: The anomalous Ward identities for flavourU3×U3 are shown to allow a wide range of values for the quark mass ratioms/m, but only if there is considerable violation of SU3. as discussed by the authors.

Abstract: The anomalous Ward identities for flavourU3×U3 are shown to allow a wide range of values for the quark mass ratioms/m, but only if there is considerable violation ofSU3.currents symmetry in the vacuum. The consequences are discussed for radiative decays of the η and\(\eta '\).

1 citations

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TL;DR: In this article, it was shown that nonperturburbative effects can give rise to interactions that violate the charge conservation in models of fermions coupled to gauge fields and that the total charge corresponding to such currents seems to be still conserved.

Abstract: In models of fermions coupled to gauge fields certain current-conservation laws are violated by Bell-Jackiw anomalies. In perturbation theory the total charge corresponding to such currents seems to be still conserved, but here it is shown that nonperturbative effects can give rise to interactions that violate the charge conservation. One consequence is baryon and lepton number nonconservation in $V\ensuremath{-}A$ gauge theories with charm. Another is the nonvanishing mass squared of the $\ensuremath{\eta}$.

2,326 citations

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TL;DR: In this article, the authors investigated the behavior under SU3×SU3 of the hadron energy density and the closely related question of how the divergences of the axial-vector currents and the strangeness-changing vector currents transform under SU 3×SU 3.

Abstract: We investigate the behavior under SU3×SU3 of the hadron energy density and the closely related question of how the divergences of the axial-vector currents and the strangeness-changing vector currents transform under SU3×SU3. We assume that two terms in the energy density break SU3×SU3 symmetry; under SU3 one transforms as a singlet, the other as the member of an octet. The simplest possible behavior of these terms under chiral transformations is proposed: They are assigned to a single (3,3*)+(3*,3) representation of SU3×SU3 and parity together with the current divergences. The commutators of charges and current divergences are derived in terms of a single constant c that describes the strength of the SU3-breaking term relative to the chiral symmetry-breaking term. The constant c is found not to be small, as suggested earlier, but instead close to the value (-sqrt[2]) corresponding to an SU2×SU2 symmetry, realized mainly by massless pions rather than parity doubling. Some applications of the proposed commutation relations are given, mainly to the pseudoscalar mesons, and other applications are indicated.

1,414 citations

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TL;DR: In this article, a careful analysis of the Ward identities involving the axial divergences partial/sup..mu../A..mu.., combined with a fit to the 2..gamma.. decays of the..pi../sup 0/, eta, and eta' via the quantum electrodynamic anomaly, allows a consistent description of the pseudoscalar nonet with zero (or small) quantum chromodynamic surface term.

Abstract: A careful analysis of the Ward identities involving the axial divergences partial/sup ..mu../A..mu.., combined with a fit to the 2..gamma.. decays of the ..pi../sup 0/, eta, and eta' via the quantum electrodynamic anomaly, allows a consistent description of the pseudoscalar nonet with zero (or small) quantum chromodynamic surface term. The gluonic matrix elements of the eta and eta' obtained from the Ward identities lead to a good quantitative understanding of the relative rates (psi ..-->.. eta'..gamma..)/(psi ..-->.. eta..gamma..), and a qualitative understanding of the nonsuppression of psi' ..-->.. psieta.

42 citations

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TL;DR: The structure of theories which attempt to describe composite hadrons by means of quark field variables defined on a light plane, can be probed using the transformation properties of observables with respect to the light-plane charges as mentioned in this paper.

Abstract: The structure of theories which attempt to describe composite hadrons by means of quark field variables defined on a light plane, can be probed using the transformation properties of observables with respect to the light-plane charges. The possibly general sransformation of the light-plane Hamiltonian P _ and of the current divergences with respect to the [SU(3) × SU(3)] L algebra of the light-plane charges is suggested. A particular method is proposed, which allows one to test this transformation pattern via the properties of the meson spectrum.

33 citations

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TL;DR: In this article, it was shown that m/sub u/ = 0 does not lead to numerical disagreements and that it implies an improvement of the SU(2) x SU( 2) symmetry.

Abstract: It is shown that m/sub u/ = 0 does not lead to numerical disagreements and that it implies an improvement of the SU(2) x SU(2) symmetry.

29 citations

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