5 research outputs found
Stress tensor fluctuations in de Sitter spacetime
The two-point function of the stress tensor operator of a quantum field in de
Sitter spacetime is calculated for an arbitrary number of dimensions. We assume
the field to be in the Bunch-Davies vacuum, and formulate our calculation in
terms of de Sitter-invariant bitensors. Explicit results for free minimally
coupled scalar fields with arbitrary mass are provided. We find long-range
stress tensor correlations for sufficiently light fields (with mass m much
smaller than the Hubble scale H), namely, the two-point function decays at
large separations like an inverse power of the physical distance with an
exponent proportional to m^2/H^2. In contrast, we show that for the massless
case it decays at large separations like the fourth power of the physical
distance. There is thus a discontinuity in the massless limit. As a byproduct
of our work, we present a novel and simple geometric interpretation of de
Sitter-invariant bitensors for pairs of points which cannot be connected by
geodesics.Comment: 35 pages, 4 figure
A comment on multiple vacua, particle production and the time dependent AdS/CFT correspondence
We give an explicit formulation of the time dependent AdS/CFT correspondence
when there are multiple vacua present in Lorentzian signature. By computing
sample two point functions we show how different amplitudes are related by
cosmological particle production. We illustrate our methods in two example
spacetimes: (a) a ``bubble of nothing'' in AdS space, and (b) an asymptotically
locally AdS spacetime with a bubble of nothing on the boundary. In both cases
the alpha vacua of de Sitter space make an interesting appearance.Comment: 9 page
Effective Functional Form of Regge Trajectories
We present theoretical arguments and strong phenomenological evidence that
hadronic Regge trajectories are essentially nonlinear and can be well
approximated, for phenomenological purposes, by a specific square-root form.Comment: 29 pages, LaTeX. Published versio