Zeta function regularization in de Sitter space: the Minkowski limit

We study an integral representation for the zeta function of the one-loop effective potential for a minimally coupled massive scalar field in D-dimensional de Sitter spacetime. By deforming the contour of integration we present it in a form suitable for letting the de Sitter radius tend to infinity, and we demonstrate explicitly for the case D=2 that the quantities $\zeta( 0 )$ and $\zeta'( 0 )$ have the appropriate Minkowski limits.Comment: TeX, 14 pages, a reference adde

Concatenation of Scales Below 1 eV

There are (at least) four numbers of physical and cosmological significance whose inferred values, when expressed in mass units, cluster in a window below 1 eV. These are: the neutrino mass, the neutrino chemical potential, the cosmological constant, and the size of two extra dimensions (if the fundamental scale of gravity is 1-10 TeV). In this note, we imagine ways in which these four numbers could all be connected.Comment: 9 pages, LaTeX; factor of 10^{27} corrected; results unaffecte

A Possible Solution to the Tritium Endpoint Problem

Scalar or right-chiral interaction currents may be expected to produce a neutrino coupled to the electron which is different from, and perhaps even orthogonal to, that coupled to the electron by the standard model weak interaction. We show that, using reasonable parameter values for such additional interactions, it is possible to generate a spectrum which, if analyzed in the manner commonly employed by experimental groups, produces a negative neutrino mass-squared.Comment: LaTeX, 7 pages, 1 Postscript figure, submitted to Phys. Lett.

Warp Factors and Extended Sources in Two Transverse Dimensions

We study the solutions of the Einstein equations in (d+2)-dimensions, describing parallel p-branes (p=d-1) in a space with two transverse dimensions of positive gaussian curvature. These solutions generalize the solutions of Deser and Jackiw of point particle sources in (2+1)-dimensional gravity with cosmological constant. Determination of the metric is reduced to finding the roots of a simple algebraic equation. These roots also determine the nontrivial "warp factors" of the metric at the positions of the branes. We discuss the possible role of these solutions and the importance of "warp factors" in the context of the large extra dimensions scenario.Comment: 11 pages, LaTeX; References and acknowledgments adde

Being Both: Embracing Two Religions in One Interfaith Family

Being Both: Embracing Two Religions in One Interfaith Family Susan Katz Miller Boston: Beacon Press, 201