11,085 research outputs found
Evolving wormhole geometries
We present here analytical solutions of General Relativity that describe
evolving wormholes with a non-constant redshift function. We show that the
matter that threads these wormholes is not necessarily exotic. Finally, we
investigate some issues concerning WEC violation and human traversability in
these time-dependent geometries.Comment: 12 pages latex, 3 figures, to appear in Phys. Rev. D., Title
correcte
Bulk phantom fields, increasing warp factors and fermion localisation
A bulk phantom scalar field (with negative kinetic energy) in a sine--Gordon
type potential is used to generate an exact thick brane solution with an
increasing warp factor. It is shown that the growing nature of the warp factor
allows the localisation of massive as well as massless spin-half fermions on
the brane even without any additional non--gravitational interactions. The
exact solutions for the localised massive fermionic modes are presented and
discussed. The inclusion of a fermion--scalar Yukawa coupling appears to change
the mass spectrum and wave functions of the localised fermion though it does
not play the crucial role it did in the case of a decreasing warp factor.Comment: 11 pages, 3 figures, RevTex
Geometry of deformations of branes in warped backgrounds
The `braneworld' (described by the usual worldvolume action) is a D
dimensional timelike surface embedded in a N dimensional () warped,
nonfactorisable spacetime. We first address the conditions on the warp factor
required to have an extremal flat brane in a five dimensional background.
Subsequently, we deal with normal deformations of such extremal branes. The
ensuing Jacobi equations are analysed to obtain the stability condition. It
turns out that to have a stable brane, the warp factor should have a minimum at
the location of the brane in the given background spacetime. To illustrate our
results we explicitly check the extremality and stability criteria for a few
known co-dimension one braneworld models. Generalisations of the above
formalism for the cases of (i) curved branes (ii) asymmetrical warping and
(iii) higher co-dimension braneworlds are then presented alongwith some typical
examples for each. Finally, we summarize our results and provide perspectives
for future work along these lines.Comment: 21 pages. Version matching final version. Accepted for publication in
Class. Quant. Gra
Orbifold resolutions with general profile
A very general class of resolved versions of the C/Z_N, T^2/Z_N and S^1/Z_2
orbifolds is considered and the free theory of 6D chiral fermions studied on
it. As the orbifold limit is taken, localized 4D chiral massless fermions are
seen to arise at the fixed points. Their number, location and chirality is
found to be independent on the detailed profile of the resolving space and to
agree with the result of hep-th/0409229, in which a particular resolution was
employed. As a consistency check of the resolution procedure, the massive
equation is numerically studied. In particular, for S^1/Z_2, the "resolved"
mass--spectrum and wave functions in the internal space are seen to correctly
reproduce the usual orbifold ones, as the orbifold limit is taken.Comment: 28 pages, 3 figures, typos corrected, references adde
A Non-Riemannian Metric on Space-Time Emergent From Scalar Quantum Field Theory
We show that the two-point function
\sigma(x,x')=\sqrt{} of a scalar quantum field theory
is a metric (i.e., a symmetric positive function satisfying the triangle
inequality) on space-time (with imaginary time). It is very different from the
Euclidean metric |x-x'| at large distances, yet agrees with it at short
distances. For example, space-time has finite diameter which is not universal.
The Lipschitz equivalence class of the metric is independent of the cutoff.
\sigma(x,x') is not the length of the geodesic in any Riemannian metric.
Nevertheless, it is possible to embed space-time in a higher dimensional space
so that \sigma(x,x') is the length of the geodesic in the ambient space.
\sigma(x,x') should be useful in constructing the continuum limit of quantum
field theory with fundamental scalar particles
Electromagnetic waves in a wormhole geometry
We investigate the propagation of electromagnetic waves through a static
wormhole. It is shown that the problem can be reduced to a one-dimensional
Schr\"odinger-like equation with a barrier-type potential. Using numerical
methods, we calculate the transmission coefficient as a function of the energy.
We also discuss the polarization of the outgoing radiation due to this
gravitational scattering.Comment: LaTex file, 5 pages, 2 figures, one reference added, accepted for
publication in PR
Two-particle entanglement as a property of three-particle entangled states
In a recent article [Phys. Rev. A 54, 1793 (1996)] Krenn and Zeilinger
investigated the conditional two-particle correlations for the subensemble of
data obtained by selecting the results of the spin measurements by two
observers 1 and 2 with respect to the result found in the corresponding
measurement by a third observer. In this paper we write out explicitly the
condition required in order for the selected results of observers 1 and 2 to
violate Bell's inequality for general measurement directions. It is shown that
there are infinitely many sets of directions giving the maximum level of
violation. Further, we extend the analysis by the authors to the class of
triorthogonal states |Psi> = c_1 |z_1>|z_2>|z_3> + c_2 |-z_1>|-z_2>|-z_3>. It
is found that a maximal violation of Bell's inequality occurs provided the
corresponding three-particle state yields a direct ("all or nothing")
nonlocality contradiction.Comment: REVTeX, 7 pages, no figure
Proceedings of the workshop "Standard Model at the LHC" University College London 30 March - 1 April 2009
Proceedings from a 3-day discussion on Standard Model discoveries with the
first LHC dataComment: 9 contributions to the proceedings of the LHC Standard Model worksho
Nonlinear DC-response in Composites: a Percolative Study
The DC-response, namely the - and - charateristics, of a variety
of composite materials are in general found to be nonlinear. We attempt to
understand the generic nature of the response charactersistics and study the
peculiarities associated with them. Our approach is based on a simple and
minimal model bond percolative network. We do simulate the resistor network
with appropritate linear and nonlinear bonds and obtain macroscopic nonlinear
response characteristics. We discuss the associated physics. An effective
medium approximation (EMA) of the corresponding resistor network is also given.Comment: Text written in RevTEX, 15 pages (20 postscript figures included),
submitted to Phys. Rev. E. Some minor corrections made in the text, corrected
one reference, the format changed (from 32 pages preprint to 15 pages
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