33 research outputs found
Curvature perturbations from ekpyrotic collapse with multiple fields
A scale-invariant spectrum of isocurvature perturbations is generated during
collapse in the ekpyrotic scaling solution in models where multiple fields have
steep negative exponential potentials. The scale invariance of the spectrum is
realized by a tachyonic instability in the isocurvature field. This instability
drives the scaling solution to the late time attractor that is the old
ekpyrotic collapse dominated by a single field. We show that the transition
from the scaling solution to the single field dominated ekpyrotic collapse
automatically converts the initial isocurvature perturbations about the scaling
solution to comoving curvature perturbations about the late-time attractor. The
final amplitude of the comoving curvature perturbation is determined by the
Hubble scale at the transition.Comment: 15 pages, 3 figures, a reference added, to be published in CQG, a
remark on the comoving density perturbation correcte
Recovering the Inflationary Potential
A procedure is developed for the recovery of the inflationary potential over
the interval that affects astrophysical scales (\approx 1\Mpc - 10^4\Mpc).
The amplitudes of the scalar and tensor metric perturbations and their
power-spectrum indices, which can in principle be inferred from large-angle CBR
anisotropy experiments and other cosmological data, determine the value of the
inflationary potential and its first two derivatives. From these, the
inflationary potential can be reconstructed in a Taylor series and the
consistency of the inflationary hypothesis tested. A number of examples are
presented, and the effect of observational uncertainties is discussed.Comment: 13 pages LaTeX, 6 Figs. available on request, FNAL-Pub-93/182-
Dynamics of tachyonic preheating after hybrid inflation
We study the instability of a scalar field at the end of hybrid inflation,
using both analytical techniques and numerical simulations. We improve previous
studies by taking the inflaton field fully into account, and show that the
range of unstable modes depends sensitively on the velocity of the inflaton
field, and thereby on the Hubble rate, at the end of inflation. If topological
defects are formed, their number density is determined by the shortest unstable
wavelength. Finally, we show that the oscillations of the inflaton field
amplify the inhomogeneities in the energy density, leading to local symmetry
restoration and faster thermalization. We believe this explains why tachyonic
preheating is so effective in transferring energy away from the inflaton zero
mode.Comment: 12 pages, 10 figures, REVTeX. Minor changes, some references added.
To appear in PR
Reconnection of Non-Abelian Cosmic Strings
Cosmic strings in non-abelian gauge theories naturally gain a spectrum of
massless, or light, excitations arising from their embedding in color and
flavor space. This opens up the possibility that colliding strings miss each
other in the internal space, reducing the probability of reconnection. We study
the topology of the non-abelian vortex moduli space to determine the outcome of
string collision. Surprisingly we find that the probability of classical
reconnection in this system remains unity, with strings passing through each
other only for finely tuned initial conditions. We proceed to show how this
conclusion can be changed by symmetry breaking effects, or by quantum effects
associated to fermionic zero modes, and present examples where the probability
of reconnection in a U(N) gauge theory ranges from 1/N for low-energy
collisions to one at higher energies.Comment: 25 Pages, 3 Figures. v2: comment added, reference adde
Numerical experiments with p F- and q D-strings: the formation of (p,q) bound states
We investigate the behaviour of (p,q) string networks, focusing on two
aspects: (1) modelling more realistic (p,q) string networks than the Z_N
networks used so far and (2) investigating the effect of long-range
interactions on the evolution of the network. We model the network with no
long-range interactions using two sets of fields, complex scalars coupled to
gauge fields, with a potential chosen such that the two types of strings will
form bound states. This way we can model junctions of 3 strings with different
tension; in Z_N models used so far in simulations all the strings have
identical tensions. In order to introduce long-range interactions we also study
a network in which one of the scalars forms global strings. We observe that in
the absence of long-range interactions the formation of bound states has a
significant influence on the evolution of the network. When long-range
interactions are turned on the bound states are short-lived and have a minimal
effect on the network evolution.Comment: 17 pages, 8 figures, JCAP styl
Correlations in Cosmic String Networks
We investigate scaling and correlations of the energy and momentum in an
evolving network of cosmic strings in Minkowski space. These quantities are of
great interest, as they must be understood before accurate predictions for the
power spectra of the perturbations in the matter and radiation in the early
Universe can be made. We argue that Minkowski space provides a reasonable
approximation to a Friedmann background for string dynamics and we use our
results to construct a simple model of the network, in which it is considered
to consist of randomly placed segments moving with random velocities. This
model works well in accounting for features of the two-time correlation
functions, and even better for the power spectra.Comment: 20pp Plain LaTeX, 11 EPS figures, uses epsf.st
Evolution of cosmic string configurations
We extend and develop our previous work on the evolution of a network of
cosmic strings. The new treatment is based on an analysis of the probability
distribution of the end-to-end distance of a randomly chosen segment of
left-moving string of given length. The description involves three distinct
length scales: , related to the overall string density, , the
persistence length along the string, and , describing the small-scale
structure, which is an important feature of the numerical simulations that have
been done of this problem. An evolution equation is derived describing how the
distribution develops in time due to the combined effects of the universal
expansion, of intercommuting and loop formation, and of gravitational
radiation. With plausible assumptions about the unknown parameters in the
model, we confirm the conclusions of our previous study, that if gravitational
radiation and small-scale structure effects are neglected, the two dominant
length scales both scale in proportion to the horizon size. When the extra
effects are included, we find that while and grow,
initially does not. Eventually, however, it does appear to scale, at a much
lower level, due to the effects of gravitational back-reaction.Comment: 61 pages, requires RevTex v3.0, SUSSEX-TH-93/3-4,
IMPERIAL/TP/92-93/4
Closed Strings with Low Harmonics and Kinks
Low-harmonic formulas for closed relativistic strings are given. General
parametrizations are presented for the addition of second- and third-harmonic
waves to the fundamental wave. The method of determination of the
parametrizations is based upon a product representation found for the finite
Fourier series of string motion in which the constraints are automatically
satisfied. The construction of strings with kinks is discussed, including
examples. A procedure is laid out for the representation of kinks that arise
from self-intersection, and subsequent intercommutation, for harmonically
parametrized cosmic strings.Comment: 39, CWRUTH-93-
Cosmological Consequences of Slow-Moving Bubbles in First-Order Phase Transitions
In cosmological first-order phase transitions, the progress of true-vacuum
bubbles is expected to be significantly retarded by the interaction between the
bubble wall and the hot plasma. We examine the evolution and collision of
slow-moving true-vacuum bubbles. Our lattice simulations indicate that phase
oscillations, predicted and observed in systems with a local symmetry and with
a global symmetry where the bubbles move at speeds less than the speed of
light, do not occur inside collisions of slow-moving local-symmetry bubbles. We
observe almost instantaneous phase equilibration which would lead to a decrease
in the expected initial defect density, or possibly prevent defects from
forming at all. We illustrate our findings with an example of defect formation
suppressed in slow-moving bubbles. Slow-moving bubble walls also prevent the
formation of `extra defects', and in the presence of plasma conductivity may
lead to an increase in the magnitude of any primordial magnetic field formed.Comment: 10 pages, 7 figures, replaced with typos corrected and reference
added. To appear in Phys. Rev.
Topological Defects and CMB anisotropies : Are the predictions reliable ?
We consider a network of topological defects which can partly decay into
neutrinos, photons, baryons, or Cold Dark Matter. We find that the degree-scale
amplitude of the cosmic microwave background (CMB) anisotropies as well as the
shape of the matter power spectrum can be considerably modified when such a
decay is taken into account. We conclude that present predictions concerning
structure formation by defects might be unreliable.Comment: 14 pages, accepted for publication in PR