On (non-Hermitian) Lagrangeans in (particle) physics and their dynamical generation

Kleefeld, Frieder

doi:10.1007/s10582-005-0117-8

Cited by 15 publications

(37 citation statements)

References 29 publications

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“…Besides, it would be rather naive to think that one can simply generalize the GTRs that work so nicely for light quarks straighforwardly to SU(4) and SU (5). A fancy way to include mass and energy-scale corrections was suggested very recently [11]. However, for the purpose of the present paper, we rather prefer to proceed as in (20).…”

Section: Medium-heavy Quark Massesmentioning

confidence: 99%

Constituent quark masses and the electroweak standard model

Scadron

Delbourgo

Rupp³

2006

J. Phys. G: Nucl. Part. Phys.

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Abstract.Constituent quark masses can be determined quite well from experimental data in several ways and one can obtain fairly accurate values for all six m q . The strong quark-meson coupling g = 2π/ √ 3 arises from the quark-level linear σ model, whereas e and sin θ w arise from weak interactions when the heavy M W and M Z are regarded as resonances in analogy with the strong KSFR relation. The Higgs boson mass, tied to null expectation value of charged Higgs components, is found to be around 317 GeV. Finally, the experimental CPV phase angle δ and the three CKM angles Θ c , Θ 2 , Θ 3 are successfully deduced from the 6 constituent quark masses following Fritzsch's approach.

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Section: Medium-heavy Quark Massesmentioning

confidence: 99%

Constituent quark masses and the electroweak standard model

Scadron

Delbourgo

Rupp³

2006

J. Phys. G: Nucl. Part. Phys.

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“…The relevant part S ef f [Plℓ] of the effective action in the local limit resulting by dynamical generation is given in Ref. [15]. By inspection of this effective action we conclude as in Ref.…”

mentioning

confidence: 61%

“…[15] that the finite decay constant f η q 1q2 of a pseudoscalar meson η q 1q2 corresponds in the considered formalism to a log.-divergent integral, i.e. [15] 2 3 :…”

mentioning

confidence: 98%

“…Facing [13,14] the yet lacking conclusive experimental evidence for the existence of gluons, new developments in mathematical physics and puzzling experimental data we will follow here Ref. [15] and model strong interactions on the basis of an alternative approach to QCD known under the name "Quark-Level Linear Sigma Model" (QLLσ M) [16], which makes use of degrees of freedom being found in nature, i.e. mesons and (anti)quarks.…”

mentioning

confidence: 99%

“…Ingredient for our calculation has been the dynamical generation of the effective action S ef f [S PP] between one scalar and two pseudoscalar mesons displayed in the footnote 4 . It is then straight forward to dynamically generate the (local) effective action for the process K + → π 0 e + ν e [15]:…”

mentioning

confidence: 99%

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On Scalar Meson Dominance in Semi- and Non-Leptonic Weak Pseudoscalar Meson Decays

Kleefeld¹

2006

AIP Conference Proceedings

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Abstract. Aspects of Scalar Meson Dominance in semi-and non-leptonic weak pseudoscalar meson decays are shortly discussed on the basis of the Quark-Level Linear Sigma Model.Keywords: scalar meson dominance, weak meson decays, linear sigma model, penguins PACS: 14.40.Aq Introduction. The theoretical description of leptonic, semi-and non-leptonic weak decays of pseudoscalar mesons has been known to be extremly rewarding since at least 5 decades [1] in particular due to technical and numerical challenges in the description of strong interactions on the basis Quantum Chromodynamics (QCD) [2]. The experimental and theoretical study of non-leptonic K-meson decays has for instance a long tradition [1, 3,4,5,6], yet the theoretical issues concerning these decays are far from settled [7,8,9]. To use the words of G. Colangelo (FSI) . . .". In view of the outlined situation we want to recall that a growing amount of meson production data available from charm/bottom quark factories allows for the first time a direct view [10] to the nature and properties of light scalar mesons which up now were only hardly accessable in elastic meson-meson scattering due to the unfortunate presence of Adler-zeros [11] and were taken into account in QCD-based formalisms to meson weak decays only indirectly as hardly quantifiable non-perturbative effects. The very existence of light scalar mesons draws renewed attention to the strongly neglected Partial Conservation of flavour-changing Vector Current (PCVC) which has coexisted with often celebrated Partial Conservation of Axialvector Current (PCAC) for about 4 decades [12]. We shall here report shortly on first results of a "Scalar Meson Dominance" (SMD) approach to pseudoscalar meson weak decays taking into account PCVC manifestly by including scalar mesons, rather than guessing PCVC non-perturbatively like in QCD.

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The quark‐level linear σ model

Scadron

Rupp

Delbourgo

2013

Fortschritte der Physik

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This review of the quark‐level linear σ model (QLLσM) is based upon the dynamical realization of the pseudoscalar and scalar mesons as a linear representation of SU(2)× SU(2) chiral symmetry, with the symmetry weakly broken by current quark masses. In its simplest SU(2) incarnation, with two non‐strange quark flavors and three colors, this nonperturbative theory, which can be selfconsistently bootstrapped in loop order, is shown to accurately reproduce a host of low‐energy observables with only one parameter, namely the pion decay constant fπ. Extending the scheme to SU(3) by including the strange quark, equally good results are obtained for many strong, electromagnetic, and weak processes just with two extra constants, viz. fK and <π |Hweak|K>. Links are made with the vector‐meson‐dominance model, the BCS theory of superconductivity, and chiral‐symmetry restoration at high temperature. Finally, these ideas are cautiously generalized to the electroweak sector, including the W, Z, and Higgs bosons, and also to CP violation.

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On (non-Hermitian) Lagrangeans in (particle) physics and their dynamical generation

Cited by 15 publications

References 29 publications

Constituent quark masses and the electroweak standard model

Constituent quark masses and the electroweak standard model

On Scalar Meson Dominance in Semi- and Non-Leptonic Weak Pseudoscalar Meson Decays

The quark‐level linear σ model

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