Chiral bosonization ofU A (1)-currents and the energy-momentum tensor in quantum chromodynamics

Andrianov, A. A.; Andrianov, V. A.; Yudichev, V. L.

doi:10.1007/bf02364975

Cited by 5 publications

(6 citation statements)

References 10 publications

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“…The closest agreement with the resonance saturation and large N c estimates of [18] for L 11−13 is provided by the NJL model without vectors mesons, for which χ 2 /3 = 0.29, but this is, of course, not conclusive. We should also mention the remarkable agreement between the prediction of the SQM for these three coefficients and that of the chiral bosonization model of [48]. One of the common features of both the NJL model with G V = 0 and the GM model analyzed in this paper is the presence of an axial coupling constant for the quarks g A = 1.…”

Section: Discussionsupporting

confidence: 70%

“…The coefficients L 11 , L 12 and L 13 , as well as H 0,3−5 , are new and are the main result of this work. They have been also evaluated some time ago [48] in a quark model without scalars and vectors and more recently by us [49] in the spectral quark model.…”

Section: B Njl Modelmentioning

confidence: 99%

“…The calculation of L 11 , L 12 and L 13 , encoding the coupling to gravitational sources, has only been done for a chiral quark model in Ref. [48] and more recently in the spectral quark model [49]. These values could be used to predict the experimentally unmeasured gravitational form factors of pseudoscalar mesons (see Ref.…”

Section: Introductionmentioning

confidence: 99%

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Energy momentum tensor of chiral quark models at low energies

2005

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The low energy structure of the energy momentum tensor in several chiral quark models with SU(3) flavor symmetry is analyzed in the presence of external gravitational fields. To this end a derivative expansion in a curved four dimensional space time is considered. This allows us to compute the chiral coefficients L11, L12, and L13, appearing when the model is coupled to gravity and related to space-time curvature properties.

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Section: Discussionsupporting

confidence: 70%

Section: B Njl Modelmentioning

confidence: 99%

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Energy momentum tensor of chiral quark models at low energies

2005

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“…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%

“…We see that despite the passing of thirty years, the MLB in QCD gives a quite satisfactory description of the structure coefficient values for the vertices of dimension four of the effective chiral Lagrangian obtained from the chiral anomaly and describing the physics of the pseudoscalar meson octet in the nonperturbative region of QCD. The relative discrepancy in the prediction for the coefficient L 5 is accounted for by need for the compensating term Φ π in the action functional (see (13)), which determines the high-energy asymptotic form of the three-boson correlator SA μ A μ [14]. (18) with the phenomenological estimates in the 30-year retrospective from [2] to [7].…”

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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Low-energy chiral Lagrangian from the spectral quark model

et al. 2004

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We analyze the recently proposed Spectral Quark Model in the light of Chiral Perturbation Theory in curved space-time. In particular, we calculate the chiral coefficients L1, . . . , L10, as well as the coefficients L11, L12, and L13, appearing when the model is coupled to gravity. The analysis is carried for the SU (3) case. We analyze the pattern of chiral symmetry breaking as well as elaborate on the fulfillment of anomalies. Matching the model results to resonance meson exchange yields the relation between the masses of the scalar, tensor and vector mesons, M f 0 = M f 2 = √ 2MV = 4 3/Ncπfπ. Finally, the large-Nc limit suggests the dual relations in the vector and scalar channels, MV = MS = 2 6/Ncπfπ and r 2 1/2 S = r 2 1/2 V = 2 √ Nc/fπ = 0.59fm.

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Chiral bosonization ofU A (1)-currents and the energy-momentum tensor in quantum chromodynamics

Cited by 5 publications

References 10 publications

Energy momentum tensor of chiral quark models at low energies

Energy momentum tensor of chiral quark models at low energies

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

Low-energy chiral Lagrangian from the spectral quark model

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