Extended model of elementary particles based on an analogy with superconductivity

Eguchi, Tohru; Sugawara, Hirotaka

doi:10.1103/physrevd.10.4257

Cited by 108 publications

(92 citation statements)

References 10 publications

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“…For operators which do not exhibit this feature one commonly refers back to simplified models of the quark flavor dynamics like the Nambu-Jona-Lasino (NJL) model [17]. In contrast to QCD such models can exactly be converted into meson theories [18,19]. This also provides the quark bilinears in terms of the meson fields.…”

Section: 1mentioning

confidence: 99%

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Baryons as Three-Flavor Solitons

Weigel

1996

Int. J. Mod. Phys. A

139

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The description of baryons as soliton solutions of effective meson theories for three flavor (up, down, strange) degrees of freedom is reviewed and the phenomenological implications are illuminated. In the collective approach the soliton configuration is equipped with baryon quantum numbers by canonical quantization of the coordinates describing the flavor orientation. The baryon spectrum resulting from exact diagonalization of the collective Hamiltonian is discussed. The prediction of static properties such as the baryon magnetic moments and the Cabibbo matrix elements for semi-leptonic hyperon decays are explored with regard to the influence of flavor symmetry breaking. In particular, the role of strange degrees of freedom in the nucleon is investigated for both the vector and axial-vector current matrix elements. The latter are discussed extensively within in the context of the proton spin puzzle. The influence of flavor symmetry breaking on the shape of the soliton is examined and observed to cause significant deviations from flavor covariant predictions on the baryon magnetic moments. Short range effects are incorporated by a chiral invariant inclusion of vector meson fields. These extensions are necessary to properly describe the singlet axial-vector current and the neutron proton mass difference. The effects of the vector meson excitations on baryon properties are also considered. The bound state description of hyperons and its generalization to baryons containing a heavy quark are illustrated. In the case of the Skyrme model a comparison is performed between the collective quantization scheme and bound state approach. Finally, the Nambu-Jona-Lasinio model is employed to demonstrate that hyperons can be described as solitons in a microscopic theory of the quark flavor dynamics. This is explained for both the collective and the bound state approaches to strangeness.2

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Section: 1mentioning

confidence: 99%

“…Using functional integral bosonization techniques the quark fields can be integrated out from the model Lagrangian (6.1) in favor of composite meson fields [18,19]. The resulting effective action is the sum, A N JL = A F + A m , of a fermion determinant…”

Section: 1mentioning

confidence: 99%

Baryons as Three-Flavor Solitons

Weigel

1996

Int. J. Mod. Phys. A

139

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“…The NJL model has been reformulated in quark language [2] during the seventies and eighties, and since then it exists as a successful effective model of quantum chromodynamics of light hadrons in the nonperturbative region. Subsequently, the NJL model was intensively investigated also as a model of hadron matter at finite temperature and density [3].…”

Section: Introductionmentioning

confidence: 99%

Mean-field expansion and meson effects in chiral condensate of analytically regularized Nambu-Jona-Lasinio model

Jafarov

Rochev

2004

Open Physics

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Scalar meson contributions in chiral quark condensate are calculated in the analytically regularized Nambu-Jona-Lasinio model using the framework of mean-field expansion in bilocal-source formalism. The sigma-meson contribution for physical values of the parameters is found to be small. Pion contribution is found to be significant and should be taken into account for the choice of the parameter values.

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“…We invoke the derivative expansion; expanding Ω MF with respect to ∂ in a Taylor series [6,7] Tr log […”

Section: -P2mentioning

confidence: 99%