51 research outputs found
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
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
and have the appropriate Minkowski limits.Comment: TeX, 14 pages, a reference adde
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
Tachyons as a Consequence of Light-Cone Reflection Symmetry
We introduce a new symmetry, Light-Cone Reflection (LCR), which interchanges
timelike and spacelike intervals. Our motivation is to provide a reason, based
on symmetry, why tachyons might exist, with emphasis on application to
neutrinos. We show that LCR, combined with translations, leads to a much larger
symmetry. We construct an LCR-invariant Lagrangian, and discuss some of its
properties. In a simple example, we find complete symmetry in the spectrum
between tachyons and ordinary particles. We also show that the theory allows
for the introduction of a further gauge invariance related to chiral symmetry.Comment: To be published in Symmetry special issue: "Tachyons and Fundamental
Symmetries
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