Asymmetry of the quark spectrum and effective Lagrangian for massive pseudoscalar mesons

Andrianov, A. A.; Andrianov, V. A.; Novozhilov, V. Yu.; Novozhilov, Yu.V.

doi:10.1007/bf01017009

Cited by 9 publications

(3 citation statements)

References 11 publications

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“…We will consider two terms of WZW action: the anomalous pion decay and the vertex of electromagnetic pion form factor. Formula (13) show the view of these terms in non-modified form [11,12]. After transition to the Sigma-model Lagrangian eigenstates, we obtained innovated vertices, included a 0 meson decays.…”

Section: Sigma Meson Model and Wess-zumino-witten Action In Chiral Mementioning

confidence: 99%

Exotic meson decays and polarization asymmetry in hadron environment with chiral imbalance

et al. 2018

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The possibility of the formation of a local parity breaking in a quark-hadron medium is described as a result of a violation of chiral symmetry, i.e, the difference between the average numbers of right and left -handing quarks in the fireball after HIC.The phenomenology of LPB in the fireball induces the introduction of a topological charge and, accordingly, a topological (chiral) chemical potential. Using the effective meson Lagrangian motivated by QCD in the chiral medium the properties of light scalar and pseudoscalar mesons are analyzed. It is establish that exotic decays of scalar mesons arise as a result of mixing of π and a0 vacuum states in the presence of chiral imbalance. The pion electromagnetic formfactor obtains a parity-odd supplement which generates a photon polarization asymmetry in pion polarizability. We consider that the above-mentioned properties of LPB can be revealed in experiments on LHC, RHIC, CBM FAIR and NICA accelerators.

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Section: Sigma Meson Model and Wess-zumino-witten Action In Chiral Mementioning

confidence: 99%

Exotic meson decays and polarization asymmetry in hadron environment with chiral imbalance

et al. 2018

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“…We present the general structure and form of the effective action (Lagrangian) for light pseudoscalar mesons in order to compare it with the Lagrangians obtained in other approaches. The general structure of the effective action for the chiral phase of quarks consists of a P -odd part, which generates the Wess-Zumino-Witten action W WZW describing rare P -odd meson decays, and a P -even part W + containing the vertices of the fourth order in derivatives of the chiral field and reproducing the physics of pseudoscalar mesons [12]. The Lagrangian containing the vertices of the fourth order in derivatives of the chiral field in the external vector, axial, scalar, and pseudoscalar fields V , A, S, and P becomes…”

Section: Introductionmentioning

confidence: 99%

“…The parameters F 2 0 and B 0 determine the low-energy region of QCD and are specified by the spectral characteristics of the Dirac operator Λ, M in the external fields (see [12], [13] for the details):…”

Section: Introductionmentioning

confidence: 99%

Bosonization of the meson sector of QCD and parity breaking in strong interactions

Andrianov

2015

Theor Math Phys

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We describe a method of the low-energy bosonization of quantum chromodynamics based on the chiral and scale anomalies. We give the values of structure coupling constants for the effective chiral Lagrangian of dimension four obtained by the method of low-energy bosonization and by various alternative approaches. Based on the method of quark bosonization in the meson sector of quantum chromodynamics and a set of other basic principles of quantum chromodynamics, we justify a possibility that spatial parity is broken in a hadron medium in heavy-ion collisions.

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The extended chiral quark model and QCD

1998

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We consider the low energy effective action of QCD below the chiral symmetry breaking scale, including, in Wilson's spirit, all operators of dimensionality less or equal to 6 which can be built with quark and chiral fields. The effect of the residual gluon interactions is contained in a number of coupling constants, whose running is studied. The resulting model is an extension of both the chiral quark model and the Nambu-Jona-Lasinio one. Constraints on the coefficients of the effective lagrangian are derived from the requirement of chiral symmetry restoration at energies above the chiral symmetry breaking scale, from matching to QCD at intermediate scales, and by fitting some hadronic observables. In this model two types of pseudoscalar states (massless pions and massive Π-mesons), as well as one scalar one arise as a consequence of dynamical chiral symmetry breaking. Their masses and coupling constants are studied. We also predict a number of low energy structural constants. We find out that QCD favours a low-energy effective theory which is largely dominated by the simplest chiral quark model, whereas higher dimensional operators (such as those of the Nambu-Jona-Lasinio type) can be assumed to be small.

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Asymmetry of the quark spectrum and effective Lagrangian for massive pseudoscalar mesons

Cited by 9 publications

References 11 publications

Exotic meson decays and polarization asymmetry in hadron environment with chiral imbalance

Exotic meson decays and polarization asymmetry in hadron environment with chiral imbalance

Bosonization of the meson sector of QCD and parity breaking in strong interactions

The extended chiral quark model and QCD

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