Significant progress has recently been achieved in the lattice gauge theory calculations required for extracting the fundamental parameters of the standard model from experiment. Recent lattice determinations of such quantities as the kaon B parameter, the mass of the b quark, and the strong coupling constant have produced results and uncertainties as good or better than the best conventional d...

The usual, or type An, Tamari lattice is a partial order on T A n , the triangulations of an (n+3)-gon. We define a partial order on T B n , the set of centrally symmetric triangulations of a (2n + 2)-gon. We show that it is a lattice, and that it shares certain other nice properties of the An Tamari lattice, and therefore that it deserves to be considered the Bn Tamari lattice. We define a bij...

I discuss gauge coupling unification in a class of superstring standard–like models, which are derived in the free fermionic formulation. Recent calculations indicate that the superstring unification scale is at O(10GeV ) while the minimal supersymmetric standard model is consistent with LEP data if the unification scale is at O(10)GeV . A generic feature of the superstring standard–like models...

Magnetic moments of baryons composed of light and strange quarks are computed for the first time through the only parameter of the model– string tension σ. For example, µ p = m p /c √ σ, µ Ω − = −µ p (1 + 3 4 m 2 s c 2 σ − 15 32 m 4 s c 4 σ 2) −1 , where magnetic moments are expressed in nuclear magnetons, m p is the proton mass, m s is the strange quark current mass, c = 0.957 – a constant whi...

The competition between the long range Coulomb attractive and the short range repulsive interaction in ionic nanocrystals creates an effective negative pressure, which causes the lattice parameter a to increase with decreasing nanoparticle size d. A simple “Madelung model” is used to predict the dependence of the lattice parameter for CeO2 and BaTiO3 on d, δa/a = α/d, for α =0.22 Å and 0.18 Å r...

Employing a novel type of non-commutative product in the Dirac-Kähler twisted superspace on a lattice, we formulate a field theoretically rigid framework of extended supersymmetry on a lattice. As a first example of this treatment, we calculate one-loop (in some cases any loops) quantum corrections for a twisted Wess-Zumino model with N × N hermitian matrix superfields on a two dimensional latt...

This is a status report on our calculation of the charmonium spectrum. Our first results were presented last year [1]. An important aspect of this calculation, the determination of αs from the charmonium spectrum, has already been reported separately [2]. The detailed results of this study will be presented in a future publication [3]. The calculation of experimentally well measured quantities ...

We apply Preuss' concept of $mbbe$-connectedness to the categories of lattice-valued uniform convergence spaces and of lattice-valued uniform spaces. A space is uniformly $mbbe$-connected if the only uniformly continuous mappings from the space to a space in the class $mbbe$ are the constant mappings. We develop the basic theory for $mbbe$-connected sets, including the product theorem. Furtherm...