Massless Scalar Field Propagator in a Quantized Space-Time

We consider in detail the analytic behaviour of the non-interacting massless scalar field two-point function in H.S. Snyder's discretized non-commuting spacetime. The propagator we find is purely real on the Euclidean side of the complex $p^2$ plane and goes like $1/p^2$ as $p^2\to 0$ from either the Euclidean or Minkowski side. The real part of the propagator goes smoothly to zero as $p^2$ increases to the discretization scale $1/a^2$ and remains zero for $p^2>1/a^2$. This behaviour is consistent with the termination of single-particle propagation on the ultraviolet side of the discretization scale. The imaginary part of the propagator, consistent with a multiparticle-production branch discontinuity, is finite and continuous on the Minkowski side, slowly falling to zero when $1/a^2<p^2<\infty$. Finally, we argue that the spectral function for the multiparticle states appears to saturate as $p^2$ probes just beyond the $1/a^2$ discretization scale. We speculate on the cosmological consequences of such a spectral function.Comment: 6 pages, 1 eps figure embedded in manuscrip

An Experiential and Integrative Approach to Problem Solving and Decision Making

This paper describes an integrative, experiential approach to teaching problem solving and decision making from two different perspectives: prescriptive theory using quantitative tools and models, and behavioral theory. Behavioral theory addresses both the cognitive and affective domains of information processing - what the decision maker does and how decisions are affected by habitual factors, personal values, psychological aspects, organizational context and external and internal pressures. The results of an online survey of the alumni of the first eight EMBA groups of a West Coast University using this approach are discussed. The survey provided data on three main areas concerning the respondents’: (1) decision making practices; (2) the nature of their decision making environment and (3) thoughts and reflections on the impact of the course. It appears that integration of behavioral and quantitative approaches is effective since the participants considered themselves to be good or effective decision makers. The alumni said that an integrated behavioral and quantitative approach to decision making is valuable in assessing their internal decision making capabilities. They feel more in charge rather than allowing outside or environmental factors influence their decisions and have more than an intuitive grasp of a structured approach to decision making. This lends credence to the fact that executive education that considers human and quantitative factors, in combination, is desirable for reducing defects in decision making. The resultant action taken by decision makers, such as managers and CEOs, will become more streamlined and efficient. Nevertheless, to fully judge the impact of this approach further systematic confirmatory research in other institutions and environments is recommended

Radiative Electroweak Symmetry-Breaking Revisited

In the absence of a tree-level scalar-field mass, renormalization-group methods permit the explicit summation of leading-logarithm contributions to all orders of the perturbative series within the effective potential for $SU(2)\times U(1)$ electroweak symmetry. This improvement of the effective potential function is seen to reduce residual dependence on the renormalization mass scale. The all-orders summation of leading logarithm terms involving the dominant three couplings contributing to radiative corrections is suggestive of a potential characterized by a plausible Higgs boson mass of 216 GeV. However, the tree potential's local minimum at $\phi =0$ is restored if QCD is sufficiently strong.Comment: revtex, 4 pages, 1 eps figure embedded in manuscript. Updated version contains additional comments and corrects minor error

Liquid-vapor interface of a polydisperse fluid

We report a Grand Canonical Monte Carlo simulation study of the liquid-vapor interface of a model fluid exhibiting polydispersity in terms of the particle size $\sigma$. The bulk density distribution, $\rho^0(\sigma)$, of the system is controlled by the imposed chemical potential distribution $\mu(\sigma)$. We choose the latter such that $\rho^0(\sigma)$ assumes a Schulz form with associated degree of polydispersity $\approx 14$. By introducing a smooth attractive wall, a planar liquid-vapor interface is formed for bulk state points within the region of liquid-vapor coexistence. Owing to fractionation, the pure liquid phase is enriched in large particles, with respect to the coexisting vapor. We investigate how the spatial non-uniformity of the density near the liquid-vapor interface affects the evolution of the local distribution of particle sizes between the limiting pure phase forms. We find (as previously predicted by density functional theory, Bellier-Castella {\em et al}, Phys. Rev. {\bf E65}, 021503 (2002)) a segregation of smaller particles to the interface. The magnitude of this effect is quantified for various $\sigma$ via measurements of the relative adsorption. Additionally, we consider the utility of various estimators for the interfacial width and highlight the difficulties of isolating the intrinsic contribution of polydispersity to this width.Comment: 9 pages, 10 Fig

Type I supernovae in the infrared and their use as distance indicators

New infrared data for 11 Type I supernovae are presented. These results, when combined with other published data for Type I supernovae, show that the light curves fall into two well-defined groups. The first more common type - Type Ia - shows strong, variable, unexplained absorption at 1.2 μm and probably at 3.5 μm, while the second type - Type Ib - shows no such absorption and a slower decline after maximum. The light curves of the Type Ia supernovae appear to have a dispersion in color and absolute magnitude of ±0.2 mag or less, making them potentially valuable for distance determination within the Local Supercluster

Infrared photometry of the nebulosity around quasars

Measurements of the nebulosity around quasars have been carried out in the near-infrared. The colors of the host galaxies found in these observations are consistent with those of normal galaxies. The luminosities are also similar to those of normal galaxies but are slightly brighter than average