Erratum to “Family structure from periodic solutions of an improved gap equation” [Nucl. Phys. B 484 (1997) 80–96]

Blumhofer, Andreas; Hutter, Marcus

doi:10.1016/s0550-3213(97)00228-9

Cited by 5 publications

(8 citation statements)

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“…These bosons then mediate four-quark interactions at energies ϽM, leading to tt condensation and DEWSB. Triantaphyllou (1994) and Blumhofer and Hutter (1997), investigated the possibility of explaining fermion family mass hierarchies dynamically without introducing horizontal (plus vertical) gauge interactions, in contrast to the models described in Sec. VIII.E.…”

Section: F Topcolor-assisted Technicolormentioning

confidence: 99%

“…60 ''Dressed'' means that the one-loop evolution of SU(N A ) and SU(N B ) coupling parameters was taken into account. Blumhofer and Hutter (1997), on the other hand, investigated whether the Dyson-Schwinger equation could possess a fermion propagator solution i͓k " ϪB(k 2 )͔ Ϫ1 which has three poles k 2 ϭm n 2 (nϭ1,2,3). Indeed, they found such a possibility, with a phenomenologically acceptable mass spectrum m n Ϸm 1 e (nϪ1)␣ .…”

Section: F Topcolor-assisted Technicolormentioning

confidence: 99%

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Top-quark condensation

1999

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Top-quark condensation, in particular the minimal framework in which the neutral Higgs scalar is (predominantly) an effective tt condensate of the standard model, is reviewed. Computational approaches are compared and similarities, differences, and deficiencies pointed out. Extensions of the minimal framework, including scenarios with two composite Higgs doublets, additional neutrino condensates, and tt condensation arising from four-fermion interactions with enlarged symmetries, are described. Possible renormalizable models of underlying physics potentially responsible for the condensation, including topcolor-assisted technicolor frameworks, are discussed. Phenomenological implications of top condensate models are outlined. Outstanding theoretical issues and problems for future investigation are pointed out. Progress in the field after this article was accepted has been briefly covered in a Note added at the end. [S0034-6861(99)

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Section: F Topcolor-assisted Technicolormentioning

confidence: 99%

Section: F Topcolor-assisted Technicolormentioning

confidence: 99%

Top-quark condensation

1999

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“…In this paper we address the question whether QCD can possess excited vacuum states, hereby called replicas, on top of the usual chirally nonsymmetric vacuum. The problem of different vacuum states, their coexistence and stability, is not new and was addressed many times in many contexts (as an example, see, e.g., [2] or [3] where the "history" of the vacuum is briefly outlined). Here we address the theoretical possibility of existence of replicas in the framework of quark QCD models which have otherwise been successful in describing hadronic phenomenology and will argue that if one uses these sort of modelswhich indeed can be traced back to the Gaussian approximation for the cumulant expansion of QCD 4 -for their phenomenologic success then one has also to consider the quite possible existence of these replicas.…”

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confidence: 99%

Vacuum replicas in QCD

Bicudo¹,

Ribeiro²,

Nefediev

2002

Phys. Rev. D

176

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The properties of the vacuum are addressed in the two- and four-dimensional quark models for QCD. It is demonstrated that the two-dimensional QCD ('t Hooft model) possesses only one possible vacuum state - the solution to the mass-gap equation, which provides spontaneous breaking of the chiral symmetry (SBCS). On the contrary, the four-dimensional theory with confinement modeled by the linear potential supplied by the Coulomb OGE interaction, not only has the chirally-noninvariant ground vacuum state, but it possesses an excited vacuum replica, which also exhibits SBCS and can realize as a metastable intermediate state of hadronic systems. We discuss the influence of the latter on physical observables as well as on the possibility to probe the vacuum background fields in QCD.Comment: RevTeX4, 26 pages, 8 EPS figures, extended references, corrected some typos, to appear in Phys.Rev.

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“…According to Ref. [6], one may interpret either the different solutions of a gap equation or the different propagator poles of one solution FIG. 4.…”

Section: B Mass Splitting and Spectrummentioning

confidence: 99%

“…Although we do not yet know the exact mass of neutrinos, related experiments have shown that they have different masses [3][4][5], and there seems to be a hierarchical structure between them. The mass spectrum is approximately exponential [6]. The fermions mass hierarchy means that higher generation fermions will decay to the first generation quickly.…”

Section: Introductionmentioning

confidence: 99%

A Flavor Change Study based on Dyson-Schwinger Equation

Chao¹,

Liu²

2022

Preprint

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We study the flavor change effects using the Dyson-Schwinger (DS) equation in a multi-flavor system. By taking the Electroweak interaction as perturbation into conditions, the SU(4) L → SU(2) L ⊗ SU(2) L → SO(2) L ⊗ SO(2) L symmetry breaking chain is studied. Under this symmetry breaking pattern fermion masses are split, and we can identify the fermions with different masses as different generations. Quark mass spectrum is then given. Meanwhile, there are a total of fifteen Goldstones but only four of them are independent. The Goldstones have electric charges 0, 0, +1, −1, respectively. One of them becomes pseudo-Nambu-Goldstone boson (pNGB) and gains a mass due to the Electroweak interaction perturbation. It can be identified as the Higgs boson. The other three Goldstones maintain massless and will be eaten by gauge bosons to give W ± and Z 0 masses via Schwinger mechanism. Thus, the Goldstones can take the role of the Higgs boson.

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Erratum to “Family structure from periodic solutions of an improved gap equation” [Nucl. Phys. B 484 (1997) 80–96]

Cited by 5 publications

References 0 publications

Top-quark condensation

Top-quark condensation

Vacuum replicas in QCD

A Flavor Change Study based on Dyson-Schwinger Equation

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