7,421 research outputs found
On a Classical, Geometric Origin of Magnetic Moments, Spin-Angular Momentum and the Dirac Gyromagnetic Ratio
By treating the real Maxwell Field and real linearized Einstein equations as
being imbedded in complex Minkowski space, one can interpret magnetic moments
and spin-angular momentum as arising from a charge and mass monopole source
moving along a complex world line in the complex Minkowski space. In the
circumstances where the complex center of mass world-line coincides with the
complex center of charge world-line, the gyromagnetic ratio is that of the
Dirac electron.Comment: 17 page
Comments on geometric and universal open string tachyons near fivebranes
In a recent paper (hep-th/0703157), Sen studied unstable D-branes in
NS5-branes backgrounds and argued that in the strong curvature regime the
universal open string tachyon (on D-branes of the wrong dimensionality) and the
geometric tachyon (on D-branes that are BPS in flat space but not in this
background) may become equivalent. We study in this note an example of a
non-BPS suspended D-brane vs. a BPS D-brane at equal distance between two
fivebranes. We use boundary worldsheet CFT methods to show that these two
unstable branes are identical.Comment: 8 pages, 1 figure; ver. 2 to appear in JHEP: one comment, refs and
appendices adde
Edge modes in band topological insulators
We characterize gapless edge modes in translation invariant topological
insulators. We show that the edge mode spectrum is a continuous deformation of
the spectrum of a certain gluing function defining the occupied state bundle
over the Brillouin zone (BZ). Topologically non-trivial gluing functions,
corresponding to non-trivial bundles, then yield edge modes exhibiting spectral
flow. We illustrate our results for the case of chiral edge states in two
dimensional Chern insulators, as well as helical edges in quantum spin Hall
states.Comment: 4 pages, 2 figures; v4 minor change
Dynamical Evolution of a Cylindrical Shell with Rotational Pressure
We prepare a general framework for analyzing the dynamics of a cylindrical
shell in the spacetime with cylindrical symmetry. Based on the framework, we
investigate a particular model of a cylindrical shell-collapse with rotational
pressure, accompanying the radiation of gravitational waves and massless
particles. The model has been introduced previously but has been awaiting for
proper analysis. Here the analysis is put forward: It is proved that, as far as
the weak energy condition is satisfied outside the shell, the collapsing shell
bounces back at some point irrespective of the initial conditions, and escapes
from the singularity formation.
The behavior after the bounce depends on the sign of the shell pressure in
the z-direction. When the pressure is non-negative, the shell continues to
expand without re-contraction. On the other hand, when the pressure is negative
(i.e. it has a tension), the behavior after the bounce can be more complicated
depending on the details of the model. However, even in this case, the shell
never reaches the zero-radius configuration.Comment: To appear in Phys. Rev.
On the Transfer of Metric Fluctuations when Extra Dimensions Bounce or Stabilize
In this report, we study within the context of general relativity with one
extra dimension compactified either on a circle or an orbifold, how radion
fluctuations interact with metric fluctuations in the three non-compact
directions. The background is non-singular and can either describe an extra
dimension on its way to stabilization, or immediately before and after a series
of non-singular bounces. We find that the metric fluctuations transfer
undisturbed through the bounces or through the transients of the
pre-stabilization epoch. Our background is obtained by considering the effects
of a gas of massless string modes in the context of a consistent 'massless
background' (or low energy effective theory) limit of string theory. We discuss
applications to various approaches to early universe cosmology, including the
ekpyrotic/cyclic universe scenario and string gas cosmology.Comment: V2. Minor Clarifications V3. appendix and 2 figures added, typos
corrected, conclusions unchanged 12 pages, 6 figure
Two-dimensional Quantum Black Holes, Branes in BTZ and Holography
We solve semiclassical Einstein equations in two dimensions with a massive
source and we find a static, thermodynamically stable, quantum black hole
solution in the Hartle-Hawking vacuum state. We then study the black hole
geometry generated by a boundary mass sitting on a non-zero tension 1-brane
embedded in a three-dimensional BTZ black hole. We show that the two geometries
coincide and we extract, using holographic relations, information about the CFT
living on the 1-brane. Finally, we show that the quantum black hole has the
same temperature of the bulk BTZ, as expected from the holographic principle.Comment: 10 pages, 2 figures, RevTex, ``point particle of mass \mu '' changed
with ``massive boundary source'' for better clarity. Action in (50) written
in Z_2 symmetric form. Appendix clarified. Minor corrections and references
added. Version accepted for pubblication in PRD15 (2006
High-energy effective theory for matter on close Randall Sundrum branes
Extending the analysis of hep-th/0504128, we obtain a formal expression for
the coupling between brane matter and the radion in a Randall-Sundrum
braneworld. This effective theory is correct to all orders in derivatives of
the radion in the limit of small brane separation, and, in particular, contains
no higher than second derivatives. In the case of cosmological symmetry the
theory can be obtained in closed form and reproduces the five-dimensional
behaviour. Perturbations in the tensor and scalar sectors are then studied.
When the branes are moving, the effective Newtonian constant on the brane is
shown to depend both on the distance between the branes and on their velocity.
In the small distance limit, we compute the exact dependence between the
four-dimensional and the five-dimensional Newtonian constants.Comment: Updated version as published in PR
Generalised Bose-Einstein phase transition in large- component spin glasses
It is proposed to understand finite dimensional spin glasses using a
expansion, where is the number of spin components. It is shown that this
approach predicts a replica symmetric state in finite dimensions. The point
about which the expansion is made, the infinite- limit, has been studied in
the mean-field limit in detail and has a very unusual phase transition, rather
similar to a Bose-Einstein phase transition but with macroscopically
occupied low-lying states.Comment: 4 pages (plus a few lines), 3 figures. v2: minor error corrected. v3:
numerics supplemented by analytical arguments, references added, figure of
density of states adde
Hydrogen thermal conductivity at temperatures from 2000 to 4000 deg F Final report
Hydrogen thermal conductivity at temperatures from 2000 to 4600 deg
Brane Cosmology in an Arbitrary Number of Dimensions
We derive the effective cosmological equations for a non-
symmetric codimension one brane embedded in an arbitrary D-dimensional bulk
spacetime, generalizing the cases much studied previously. As a
particular case, this may be considered as a regularized codimension (D-4)
brane avoiding the problem of curvature divergence on the brane. We apply our
results to the case of spherical symmetry around the brane and to partly
compactified AdS-Schwarzschild bulks.Comment: 23 page
- …