10,232 research outputs found
The ALPS project: open source software for strongly correlated systems
We present the ALPS (Algorithms and Libraries for Physics Simulations)
project, an international open source software project to develop libraries and
application programs for the simulation of strongly correlated quantum lattice
models such as quantum magnets, lattice bosons, and strongly correlated fermion
systems. Development is centered on common XML and binary data formats, on
libraries to simplify and speed up code development, and on full-featured
simulation programs. The programs enable non-experts to start carrying out
numerical simulations by providing basic implementations of the important
algorithms for quantum lattice models: classical and quantum Monte Carlo (QMC)
using non-local updates, extended ensemble simulations, exact and full
diagonalization (ED), as well as the density matrix renormalization group
(DMRG). The software is available from our web server at
http://alps.comp-phys.org.Comment: For full software and introductory turorials see
http://alps.comp-phys.or
Charged black holes in string-inspired gravity: I. Causal structures and responses of the Brans-Dicke field
We investigate gravitational collapses of charged black holes in
string-inspired gravity models, including dilaton gravity and braneworld model,
as well as f(R) gravity and the ghost limit. If we turn on gauge coupling, the
causal structures and the responses of the Brans-Dicke field depend on the
coupling between the charged matter and the Brans-Dicke field. For Type IIA
inspired models, a Cauchy horizon exists, while there is no Cauchy horizon for
Type I or Heterotic inspired models. For Type IIA inspired models, the no-hair
theorem is satisfied asymptotically, while it is biased to the weak coupling
limit for Type I or Heterotic inspired models. Apart from string theory, we
find that in the ghost limit, a gravitational collapse can induce inflation by
itself and create one-way traversable wormholes without the need of other
special initial conditions.Comment: 45 pages, 22 figure
Loop Quantum Gravity and the The Planck Regime of Cosmology
The very early universe provides the best arena we currently have to test
quantum gravity theories. The success of the inflationary paradigm in
accounting for the observed inhomogeneities in the cosmic microwave background
already illustrates this point to a certain extent because the paradigm is
based on quantum field theory on the curved cosmological space-times. However,
this analysis excludes the Planck era because the background space-time
satisfies Einstein's equations all the way back to the big bang singularity.
Using techniques from loop quantum gravity, the paradigm has now been extended
to a self-consistent theory from the Planck regime to the onset of inflation,
covering some 11 orders of magnitude in curvature. In addition, for a narrow
window of initial conditions, there are departures from the standard paradigm,
with novel effects, such as a modification of the consistency relation
involving the scalar and tensor power spectra and a new source for
non-Gaussianities. Thus, the genesis of the large scale structure of the
universe can be traced back to quantum gravity fluctuations \emph{in the Planck
regime}. This report provides a bird's eye view of these developments for the
general relativity community.Comment: 23 pages, 4 figures. Plenary talk at the Conference: Relativity and
Gravitation: 100 Years after Einstein in Prague. To appear in the Proceedings
to be published by Edition Open Access. Summarizes results that appeared in
journal articles [2-13
The numerical approach to quantum field theory in a non-commutative space
Numerical simulation is an important non-perturbative tool to study quantum
field theories defined in non-commutative spaces. In this contribution, a
selection of results from Monte Carlo calculations for non-commutative models
is presented, and their implications are reviewed. In addition, we also discuss
how related numerical techniques have been recently applied in computer
simulations of dimensionally reduced supersymmetric theories.Comment: 15 pages, 6 figures, invited talk presented at the Humboldt Kolleg
"Open Problems in Theoretical Physics: the Issue of Quantum Space-Time", to
appear in the proceedings of the Corfu Summer Institute 2015 "School and
Workshops on Elementary Particle Physics and Gravity" (Corfu, Greece, 1-27
September 2015
From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity
This article reviews some aspects in the current relationship between
mathematical and numerical General Relativity. Focus is placed on the
description of isolated systems, with a particular emphasis on recent
developments in the study of black holes. Ideas concerning asymptotic flatness,
the initial value problem, the constraint equations, evolution formalisms,
geometric inequalities and quasi-local black hole horizons are discussed on the
light of the interaction between numerical and mathematical relativists.Comment: Topical review commissioned by Classical and Quantum Gravity.
Discussion inspired by the workshop "From Geometry to Numerics" (Paris, 20-24
November, 2006), part of the "General Relativity Trimester" at the Institut
Henri Poincare (Fall 2006). Comments and references added. Typos corrected.
Submitted to Classical and Quantum Gravit
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