238 research outputs found

    Light Quark Mass Determinations from the Lattice

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    This paper is a review of recent lattice determinations of the light quark masses. It describes the method employed to calculate quark masses in the lattice formulation, and the extrapolations required to reach the physical regime. This review is designed to be accessible to a general audience, not specifically lattice theorists.Comment: Invited review talk at QCD97, Montpellier (July '97). 8 pages, 2 figures. Requires espcrc2.sty Minor changes: a reference added and a table updated accordingl

    A Tale of Two Fractals: The Hofstadter Butterfly and The Integral Apollonian Gaskets

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    This paper unveils a mapping between a quantum fractal that describes a physical phenomena, and an abstract geometrical fractal. The quantum fractal is the Hofstadter butterfly discovered in 1976 in an iconic condensed matter problem of electrons moving in a two-dimensional lattice in a transverse magnetic field. The geometric fractal is the integer Apollonian gasket characterized in terms of a 300 BC problem of mutually tangent circles. Both of these fractals are made up of integers. In the Hofstadter butterfly, these integers encode the topological quantum numbers of quantum Hall conductivity. In the Apollonian gaskets an infinite number of mutually tangent circles are nested inside each other, where each circle has integer curvature. The mapping between these two fractals reveals a hidden threefold symmetry embedded in the kaleidoscopic images that describe the asymptotic scaling properties of the butterfly. This paper also serves as a mini review of these fractals, emphasizing their hierarchical aspects in terms of Farey fractions

    The Leptonic Decay Constants of Qˉq\bar{Q}q Mesons and the Lattice Resolution

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    We present a high statistics study of the leptonic decay constant fPf_P of heavy pseudoscalar mesons using propagating heavy Wilson quarks within the quenched approximation, on lattices covering sizes from about 0.7~fm to 2~fm. Varying β\beta between 5.74 and 6.26 we observe a sizeable aa dependence of fPf_P when one uses the quark field normalization that was suggested by Kronfeld and Mackenzie, compared with the weaker dependence observed for the standard relativistic norm. The two schemes come into agreement when one extrapolates to a0a \rightarrow 0. The extrapolations needed to reach the continuum quantity fBf_B introduce large errors and lead to the value fB=0.18(5)f_B=0.18(5)~GeV in the quenched approximation. This suggests that much more effort will be needed to obtain an accurate lattice prediction for fBf_B.Comment: 11 pages Latex + 5 tables + 8 postscript figures, unix shell archive, DESY preprint DESY 93-17

    Impurity and interface bound states in dx2y2+idxyd_{x^2-y^2}+id_{xy} and px+ipyp_x+ip_y superconductors

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    Motivated by recent discoveries of novel superconductors such as Nax_xCoO2y_2\cdot yH2_2O and Sr2_2RuO4_4, we analysize features of quasi-particle scattering due to impurities and interfaces for possible gapful dx2y2+idxyd_{x^2-y^2}+id_{xy} and px+ipyp_x+ip_y Cooper pairing. A bound state appears near a local impurity, and a band of bound states form near an interface. We obtained analytically the bound state energy, and calculated the space and energy dependent local density of states resolvable by high-resolution scanning tunnelling microscopy. For comparison we also sketch results of impurity and surface states if the pairing is nodal p- or d-wave.Comment: 4 pages, 4 figure

    Phenomenological Determination of the Beauty Meson Decay Parameter fBf_B and the CP-Violating Angle δ\delta

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    We fit the CKM{\cal CKM}-matrix to all recent data with the following free parameters: three mixing angles, the CP-violating angle δ\delta in the Maiani parametrisation, the top quark mass mtm_t, and the product f_B{\cal B}_{\B}^{1/2}, where fBf_B is the BB-meson decay parameter and {\cal B}_{\B} is the bag parameter. Our fits span a contiguous region in the (f_B{\cal B}_{\B}^{1/2},\ \cos\delta)--plane, limited by 0.117\lsim f_B{\cal B}_{\B}^{1/2}/{\rm GeV}\lsim 0.231 and --0.95 \lsim cosδ\cos\delta \lsim 0.70. The parameters f_B{\cal B}_{\B}^{1/2} and cosδ\cos\delta are strongly positively correlated.Comment: 9 pages + 1 figure available upon request, HU-TFT-94-3

    Completion Dissection or Observation for Sentinel-Node Metastasis in Melanoma.

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    Sentinel-lymph-node biopsy is associated with increased melanoma-specific survival (i.e., survival until death from melanoma) among patients with node-positive intermediate-thickness melanomas (1.2 to 3.5 mm). The value of completion lymph-node dissection for patients with sentinel-node metastases is not clear. In an international trial, we randomly assigned patients with sentinel-node metastases detected by means of standard pathological assessment or a multimarker molecular assay to immediate completion lymph-node dissection (dissection group) or nodal observation with ultrasonography (observation group). The primary end point was melanoma-specific survival. Secondary end points included disease-free survival and the cumulative rate of nonsentinel-node metastasis. Immediate completion lymph-node dissection was not associated with increased melanoma-specific survival among 1934 patients with data that could be evaluated in an intention-to-treat analysis or among 1755 patients in the per-protocol analysis. In the per-protocol analysis, the mean (±SE) 3-year rate of melanoma-specific survival was similar in the dissection group and the observation group (86±1.3% and 86±1.2%, respectively; P=0.42 by the log-rank test) at a median follow-up of 43 months. The rate of disease-free survival was slightly higher in the dissection group than in the observation group (68±1.7% and 63±1.7%, respectively; P=0.05 by the log-rank test) at 3 years, based on an increased rate of disease control in the regional nodes at 3 years (92±1.0% vs. 77±1.5%; P<0.001 by the log-rank test); these results must be interpreted with caution. Nonsentinel-node metastases, identified in 11.5% of the patients in the dissection group, were a strong, independent prognostic factor for recurrence (hazard ratio, 1.78; P=0.005). Lymphedema was observed in 24.1% of the patients in the dissection group and in 6.3% of those in the observation group. Immediate completion lymph-node dissection increased the rate of regional disease control and provided prognostic information but did not increase melanoma-specific survival among patients with melanoma and sentinel-node metastases. (Funded by the National Cancer Institute and others; MSLT-II ClinicalTrials.gov number, NCT00297895 .)

    Avanços recentes em nutrição de larvas de peixes

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    Os requisitos nutricionais de larvas de peixes são ainda mal compreendidos, o que leva a altas mortalidades e problemas de qualidade no seu cultivo. Este trabalho pretende fazer uma revisão de novas metodologias de investigação, tais como estudos com marcadores, genómica populacional, programação nutricional, génomica e proteómica funcionais, e fornecer ainda alguns exemplos das utilizações presentes e perspectivas futuras em estudos de nutrição de larvas de peixes
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