arXiv subjects
Publications and source records attributed to F. N. Ndili.
We show that the parameters of the quark mass matrices M_u and M_d of a 4 texture zero model, exhibit an interesting hierarchical regularity we have called equal spacing rule, and that this regularity leads us to a further observation that the quark mass matrices (M_u, M_d) appear to exist in a plurality of states, each state labelled by two numbers (N,k). We give interpretation to these observations.
We introduce the new concept of binary particle as the basic matter unit that participates in weak interactions and not any one fermion singly. We state the quantum numbers of this binary particle, and show the concept leads us to a natural explanation of the standard model puzzle of the origin of flavor mixing and the CKM matrix. Certain other puzzles of the standard model such as the absence of flavor changing neutral currents (FCNC), are also explained naturally by the binary particle model. These puzzles are currently thought to be esoteric properties of electro weak interactions that have origins in physics beyond the standard model at some ultra high energy scales. We show that this is not necessarily the case.
We study the spectrum and possible observability of Higgs-like scalar particles associated with spontaneous breaking at high energies of fermion family symmetries such as $SU(3)_f$ proposed sometime ago by King and Ross. We treat the energy scale at which the symmetry is broken as a variable not necessarily as high as the GUT scale used by King and Ross. We compare and contrast a non-supersymmetric treatment of the fermion family symmetry model introduced here, and the supersymmetric treatment used by King and Ross.
We present a comparative study of radiative electroweak symmetry breaking and conventional standard model breaking, and pose the question whether experiments can distinguish one breaking mode from the other. The importance of the problem lies in the fact that the two breaking modes have very different physical interpretations concerning the mechanism of spontaneous electroweak symmetry breaking and the origin of mass.
We present an entirely perturbative QCD determination of the critical phase transition flavor number $N^{cr}_{f}$ of QCD. The results obtained are compared with various determinations of $N^{cr}_{f}$ by non-pertrubative methods, including lattice QCD. The wider physics implication of the existence of the Banks-Zaks regime of QCD with only weakly interacting quarks, is discussed briefly.
We report our finding of a two scale cut off structure in the infrared nonperturbative dynamics of Pade couplant QCD, in the flavor states $N_{f} \le 8$. We argue that these two NPQCD momentum scales $Q_{c}(Y_{1})$ and $Q_{c}(Y_{2})$ can be identified as the scales of onset of chiral symmetry breaking and quark confinement in QCD, and as the cut off boundaries of a strongly interacting infrared quark gluon phase of Quantum Chromodynamics, intermediate between the hadronic phase of QCD and the weakly coupled perturbative QCD regime. We investigated the pattern of variation with flavor number $N_{f} \le 8$, of these domain boundaries of the intermediate nonperturbative infrared QCD, and found that the two scales are correlated, with a correlation factor $Q_{c}(Y_{2})/Q_{c}(Y_{1})$ that rises to a peak at $N_{f} = 2$ from $N_{f} = 0$, but falls off rapidly to zero for $4 \le N_{f} \le 8$. We concluded firmly that dynamical chiral symmetry breaking and quark confinement while being two distinct QCD phenomena caused by two independent component QCD forces $Y_{1}$ and $Y_{2}$, are nevertheless closely related phenomena of infrared nonperturbative QCD dynamics. Their correlation leads us to a finding that quark confinement is most favored in the $N_{f} = 2$ flavor state of QCD, but becomes rapidly less probable for $N_{f} \geq 4$, this finding being exactly as one observes in nature.
We present a graphical method of analyzing the infra-red fixed point structure of Pade approximant QCD. The analysis shows a spiral multi-component couplant structure as well as an infra-red attractor behavior of PQCD couplant for all flavors $0 \le N_{f} \le 16$.