Currents and symmetry breaking

Lévy, Maurice

doi:10.1007/bf02739271

Cited by 186 publications

(69 citation statements)

References 23 publications

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“…Although other interpretations are certainly possible and criticisms have been raised, these results suggest that the σ(600) couples strongly to pion pairs but not to kaon pairs. In the U (3) × U (3) linear sigma model (LσM), proposed many years ago by Levy, Gasiorowicz, Schechter and coworkers [11], the σ(600) couplings to pion and kaon pairs are directly predicted to be proportional to m 2 σ − m 2 π and m 2 σ − m 2 K , respectively. The existence of such a low mass resonance of the LσM, with m σ ≃ m K , would thus immediately explain the above experimental findings [6,7,8,9,10].…”

Section: Introductionmentioning

confidence: 99%

Scalar meson dynamics in chiral perturbation theory

2004

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A comparison of the linear sigma model (LσM) and Chiral Perturbation Theory (ChPT) predictions for pion and kaon dynamics is presented. Lowest and next-to-leading order terms in the ChPT amplitudes are reproduced if one restricts to scalar resonance exchange. Some low energy constants of the order p 4 ChPT Lagrangian are fixed in terms of scalar meson masses. Present values of these low energy constants are compatible with the LσM dynamics. We conclude that more accurate values would be most useful either to falsify the LσM or to show its capability to shed some light on the controversial scalar physics.

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Section: Introductionmentioning

confidence: 99%

Scalar meson dynamics in chiral perturbation theory

2004

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“…The linear σ-model as a specific realization of SU (3) L ×SU (3) R symmetry was extensively studied in free space [9][10][11]. The spin-0 mass spectrum and meson-nucleon scattering are satisfactorily described within this approach.…”

Section: Introductionmentioning

confidence: 99%

Chiral Lagrangian for strange hadronic matter

Papazoglou¹,

et al. 1998

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A generalized Lagrangian for the description of hadronic matter based on the linear SU (3)L × SU (3)R σ-model is proposed. Besides the baryon octet, the spin-0 and spin-1 nonets, a gluon condensate associated with broken scale invariance is incorporated. The observed values for the vacuum masses of the baryons and mesons are reproduced. In mean-field approximation, vector and scalar interactions yield a saturating nuclear equation of state. We discuss the difficulties and possibilities to construct a chiral invariant baryon-meson interaction that leads to a realistic equation of state. It is found that a coupling of the strange condensate to nucleons is needed to describe the hyperon potentials correctly. The effective baryon masses and the appearance of an abnormal phase of nearly massless nucleons at high densities are examined. A nonlinear realization of chiral symmetry is considered, to retain a Yukawa-type baryon-meson interaction and to establish a connection to the Walecka-model.

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“…Since the analogous (but much more complex) SU(3) LσM Lagrangian [8] has only been considered in its (unshifted) spontaneously generated form (but also giving rise to interesting physics [16,17]), in this paper we try to dynamically generate the SU(3) LσM Lagrangian, the U(3) meson masses, couplings, and in addition, dynamically induce the empirical meson mixing angles.…”

Section: Introductionmentioning

confidence: 99%

Dyanmical Generation of Linear Σ Model Su(3) Lagrangian and Meson Nonet Mixing

Delbourgo

Scadron

1998

Int. J. Mod. Phys. A

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This paper is the SU(3) extension of the dynamically generated SU(2) linear σ model Lagrangian worked out previously using dimensional regularization. After discussing the quark-level Goldberger-Treiman relations for SU(3) and the related gap equations, we dynamically generate the meson cubic and quartic couplings. This also constrains the mesonquark coupling constant to g = 2π/ √ 3 and determines the SU(3) scalar meson masses in a Nambu-Jona-Lasinio fashion. Finally we dynamically induce the U(3) pseudoscalar and scalar mixing angles in a manner compatible with data.

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Currents and symmetry breaking

Cited by 186 publications

References 23 publications

Scalar meson dynamics in chiral perturbation theory

Scalar meson dynamics in chiral perturbation theory

Chiral Lagrangian for strange hadronic matter

Dyanmical Generation of Linear Σ Model Su(3) Lagrangian and Meson Nonet Mixing

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