1,762 research outputs found

    The Standard Model a la Connes-Lott

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    The relations among coupling constants and masses in the standard model \`a la Connes-Lott with general scalar product are computed in detail. We find a relation between the top and the Higgs masses. For mt=174±22 GeVm_t=174\pm22\ GeV it yields mH=277±40 GeVm_H=277\pm40\ GeV. The Connes-Lott theory privileges the masses mt=160.4 GeVm_t=160.4\ GeV and mH=251.8 GeVm_H=251.8\ GeV.Comment: 20 pages, LaTe

    Connes' interpretation of the Standard Model and massive neutrinos

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    Massive neutrinos can be accommodated into the noncommutative geometry reinterpretation of the Standard Model. The constrained Standard Model Lagrangian is computed anew under the assumption of nonzero neutrino masses. This gives the ``prediction" of a mass for the Higgs particle somewhat higher than in the vanishing neutrino mass case.Comment: Final version, to appear in Phys Lett

    Inner fluctuations of the spectral action

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    We prove in the general framework of noncommutative geometry that the inner fluctuations of the spectral action can be computed as residues and give exactly the counterterms for the Feynman graphs with fermionic internal lines. We show that for geometries of dimension less or equal to four the obtained terms add up to a sum of a Yang-Mills action with a Chern-Simons action.Comment: 18 pages, 4 figures Equation 1.6 correcte

    A generalized Lichnerowicz formula, the Wodzicki Residue and Gravity

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    We prove a generalized version of the well-known Lichnerowicz formula for the square of the most general Dirac operator D~\widetilde{D}\ on an even-dimensional spin manifold associated to a metric connection ∇~\widetilde{\nabla}. We use this formula to compute the subleading term Ω1(x,x,D~2)\Phi_1(x,x, \widetilde{D}^2)\ of the heat-kernel expansion of D~2\widetilde{D}^2. The trace of this term plays a key-r\hat {\petit\rm o}le in the definition of a (euclidian) gravity action in the context of non-commutative geometry. We show that this gravity action can be interpreted as defining a modified euclidian Einstein-Cartan theory.Comment: 10 pages, plain te

    The Standard Model within Non-associative Geometry

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    We present the construction of the standard model within the framework of non--associative geometry. For the simplest scalar product we get the tree--level predictions mW=12mt ,m_W=\frac{1}{2} m_t\,, mH=32mtm_H=\frac{3}{2} m_t and sin⁡2ξW=38.\sin^2 \theta_W= \frac{3}{8}. These relations differ slightly from predictions derived in non--commutative geometry.Comment: 9 pages. LaTeX 2e, styles: amsart, a4, array, eqnarray, bbm, mathrsfs, cit

    Standardized Critical Thinking Tests as a Predictor of Success in Nursing Programs

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    High attrition rates and a nursing shortage across the nation have led schools of nursing to seek out ways to better identify which applicants will be most successful in graduating from the nursing program and passing the National Council Licensure Examination for Registered Nurses (NCLEX-RN). Nursing programs have historically included standardized entrance exam scores and prerequisite scores among their admission criteria but have not used standardized critical thinking assessments (CTA), even though critical thinking is an integral part of being a successful nursing professional. Using Astin\u27s input-environment-output (I-E-O) model, the purpose of this retrospective correlational study was to determine whether a significant relationship exists between prerequisite grade point average (GPA), Test for Essential Academic Skills (TEAS) composite scores, entrance and exit CTA scores, and nursing GPA and the outcome of interest, passing the NCLEX-RN exam. Archival data for 64 students enrolled in a baccalaureate degree program at a Texas university were analyzed using binary logistic regression. A significant positive relationship was found between prerequisite GPA, TEAS composite scores, entrance and exit CTA scores, and nursing GPA, and the outcome of interest, passing the NCLEX-RN exam. However, in looking at each independent variable separately, no significant relationship was revealed between the individual scores of the prerequisite GPA, TEAS composite, entrance and exit critical thinking assessment, nursing GPA, and the outcome of passing the NCLEX-RN exam on the first attempt. These findings have implications for positive social change by illuminating the complexities of nursing program retention and graduation and informing efforts to train the most talented nurses

    Gravity, Non-Commutative Geometry and the Wodzicki Residue

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    We derive an action for gravity in the framework of non-commutative geometry by using the Wodzicki residue. We prove that for a Dirac operator DD on an nn dimensional compact Riemannian manifold with n≄4n\geq 4, nn even, the Wodzicki residue Res(D−n+2)(D^{-n+2}) is the integral of the second coefficient of the heat kernel expansion of D2D^{2}. We use this result to derive a gravity action for commutative geometry which is the usual Einstein Hilbert action and we also apply our results to a non-commutative extension which, is given by the tensor product of the algebra of smooth functions on a manifold and a finite dimensional matrix algebra. In this case we obtain gravity with a cosmological constant.Comment: 17p., MZ-TH/93-3

    Fuzzy Mass Relations in the Standard Model

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    Recently Connes has proposed a new geometric version of the standard model including a non-commutative charge conjugation. We present a systematic analysis of the relations among masses and coupling constants in this approach. In particular, for a given top mass, the Higgs mass is constrained to lie in an interval. Therefore this constraint is locally stable under renormalization flow.Comment: 14 pages LaTeX, one figure postscrip
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