1,187 research outputs found
Holographic Description of AdS Cosmologies
To gain insight in the quantum nature of the big bang, we study the dual
field theory description of asymptotically anti-de Sitter solutions of
supergravity that have cosmological singularities. The dual theories do not
appear to have a stable ground state. One regularization of the theory causes
the cosmological singularities in the bulk to turn into giant black holes with
scalar hair. We interpret these hairy black holes in the dual field theory and
use them to compute a finite temperature effective potential. In our study of
the field theory evolution, we find no evidence for a "bounce" from a big
crunch to a big bang. Instead, it appears that the big bang is a rare
fluctuation from a generic equilibrium quantum gravity state.Comment: 34 pages, 8 figures, v2: minor changes, references adde
Numerical Study of Cosmic Censorship in String Theory
Recently Hertog, Horowitz, and Maeda have argued that cosmic censorship can
be generically violated in string theory in anti-de Sitter spacetime by
considering a collapsing bubble of a scalar field whose mass saturates the
Breitenlohner-Freedman bound. We study this system numerically and find that
for various choices of initial data black holes form rather than naked
singularities, implying that in these cases cosmic censorship is upheld.Comment: 16 pages, latex, 10 figures, uses JHEP.cls, v2: minor changes,
version to be published in JHE
D-Brane Potentials from Multi-Trace Deformations in AdS/CFT
It is known that certain AdS boundary conditions allow smooth initial data to
evolve into a big crunch. To study this type of cosmological singularity, one
can use the dual quantum field theory, where the non-standard boundary
conditions are reflected by the presence of a multi-trace potential unbounded
below. For specific AdS_4 and AdS_5 models, we provide a D-brane (or M-brane)
interpretation of the unbounded potential. Using probe brane computations, we
show that the AdS boundary conditions of interest cause spherical branes to be
pushed to the boundary of AdS in finite time, and that the corresponding
potential agrees with the multi-trace deformation of the dual field theory.
Systems with expanding spherical D3-branes are related to big crunch
supergravity solutions by a phenomenon similar to geometric transition.Comment: 26 pages, 3 figures, v4: a few typos fixed
Long Range Order at Low Temperature in Dipolar Spin Ice
Recently it has been suggested that long range magnetic dipolar interactions
are responsible for spin ice behavior in the Ising pyrochlore magnets and . We report here numerical
results on the low temperature properties of the dipolar spin ice model,
obtained via a new loop algorithm which greatly improves the dynamics at low
temperature. We recover the previously reported missing entropy in this model,
and find a first order transition to a long range ordered phase with zero total
magnetization at very low temperature. We discuss the relevance of these
results to and .Comment: New version of the manuscript. Now contains 3 POSTSCRIPT figures as
opposed to 2 figures. Manuscript contains a more detailed discussion of the
(i) nature of long-range ordered ground state, (ii) finite-size scaling
results of the 1st order transition into the ground state. Order of authors
has been changed. Resubmitted to Physical Review Letters Contact:
[email protected]
Nonabelian solutions in N=4, D=5 gauged supergravity
We consider static, nonabelian solutions in N=4, D=5 Romans' gauged
supergravity model. Numerical arguments are presented for the existence of
asymptotically anti-de Sitter configurations in the version of the
theory, with a dilaton potential presenting a stationary point. Considering the
version of the theory with a Liouville dilaton potential, we look for
configurations with unusual topology. A new exact solution is presented, and a
counterterm method is proposed to compute the mass and action.Comment: 15 pages, 4 figure
New hairy black hole solutions with a dilaton potential
We consider black hole solutions with a dilaton field possessing a nontrivial
potential approaching a constant negative value at infinity. The asymptotic
behaviour of the dilaton field is assumed to be slower than that of a localized
distribution of matter. A nonabelian SU(2) gauge field is also included in the
total action. The mass of the solutions admitting a power series expansion in
at infinity and preserving the asymptotic anti-de Sitter geometry is
computed by using a counterterm subtraction method. Numerical arguments are
presented for the existence of hairy black hole solutions for a dilaton
potential of the form , special attention being paid to the case of
gauged supergravity model of Gates and Zwiebach.Comment: 12 pages, 4 figures; v2:references added, typos corrected, small
changes in Section
Quantum evolution across singularities: the case of geometrical resolutions
We continue the study of time-dependent Hamiltonians with an isolated
singularity in their time dependence, describing propagation on singular
space-times. In previous work, two of us have proposed a "minimal subtraction"
prescription for the simplest class of such systems, involving Hamiltonians
with only one singular term. On the other hand, Hamiltonians corresponding to
geometrical resolutions of space-time tend to involve multiple operator
structures (multiple types of dependence on the canonical variables) in an
essential way.
We consider some of the general properties of such (near-)singular
Hamiltonian systems, and further specialize to the case of a free scalar field
on a two-parameter generalization of the null-brane space-time. We find that
the singular limit of free scalar field evolution exists for a discrete subset
of the possible values of the two parameters. The coordinates we introduce
reveal a peculiar reflection property of scalar field propagation on the
generalized (as well as the original) null-brane. We further present a simple
family of pp-wave geometries whose singular limit is a light-like hyperplane
(discontinuously) reflecting the positions of particles as they pass through
it.Comment: 25 pages, 1 figur
An approximation framework for two-stage ambiguous stochastic integer programs under mean-MAD information
We consider two-stage recourse models in which only limited information is available on the probability distributions of the random parameters in the model. If all decision variables are continuous, then we are able to derive the worst-case and best-case probability distributions under the assumption that only the means and mean absolute deviations of the random parameters are known. Contrary to most existing results in the literature, these probability distributions are the same for every first-stage decision. The ambiguity set that we use in this paper also turns out to be particularly suitable for ambiguous recourse models involving integer decisions variables. For such problems, we develop a general approximation framework and derive error bounds for using these approximatons. We apply this approximation framework to mixed-ambiguous mixed-integer recourse models in which some of the probability distributions of the random parameters are known and others are ambiguous. To illustrate these results we carry out numerical experiments on a surgery block allocation problem. (C) 2018 Elsevier B.V. All rights reserved
Comment on ``BCS to Bose-Einstein crossover phase diagram at zero temperature for a d_{x^2-y^2} order parameter superconductor: Dependence on the tight-binding structure''
The work by Soares et al. [Phys. Rev. B 65, 174506 (2002)] investigates the
BCS-BE crossover for d-wave pairing in the 2-dimensional attractive Hubbard
model. Contrary to their claims, we found that a non-pairing region does not
exist in the density vs coupling phase diagram. The gap parameter at T=0, as
obtained by solving analytically as well as numerically the BCS equations, is
in fact finite for any non-zero density and coupling, even in the weak-coupling
regime.Comment: 7 pages, 1 figur
Toward the End of Time
The null-brane space-time provides a simple model of a big crunch/big bang
singularity. A non-perturbative definition of M-theory on this space-time was
recently provided using matrix theory. We derive the fermion couplings for this
matrix model and study the leading quantum effects. These effects include
particle production and a time-dependent potential. Our results suggest that as
the null-brane develops a big crunch singularity, the usual notion of
space-time is replaced by an interacting gluon phase. This gluon phase appears
to constitute the end of our conventional picture of space and time.Comment: 31 pages, reference adde
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