4,678 research outputs found
Casimir effect of electromagnetic field in Randall-Sundrum spacetime
We study the finite temperature Casimir effect on a pair of parallel
perfectly conducting plates in Randall-Sundrum model without using scalar field
analogy. Two different ways of interpreting perfectly conducting conditions are
discussed. The conventional way that uses perfectly conducting condition
induced from 5D leads to three discrete mode corrections. This is very
different from the result obtained from imposing 4D perfectly conducting
conditions on the 4D massless and massive vector fields obtained by decomposing
the 5D electromagnetic field. The latter only contains two discrete mode
corrections, but it has a continuum mode correction that depends on the
thicknesses of the plates. It is shown that under both boundary conditions, the
corrections to the Casimir force make the Casimir force more attractive. The
correction under 4D perfectly conducting condition is always smaller than the
correction under the 5D induced perfectly conducting condition. These
statements are true at any temperature.Comment: 20 pages, 4 figure
SIC~POVMs and Clifford groups in prime dimensions
We show that in prime dimensions not equal to three, each group covariant
symmetric informationally complete positive operator valued measure (SIC~POVM)
is covariant with respect to a unique Heisenberg--Weyl (HW) group. Moreover,
the symmetry group of the SIC~POVM is a subgroup of the Clifford group. Hence,
two SIC~POVMs covariant with respect to the HW group are unitarily or
antiunitarily equivalent if and only if they are on the same orbit of the
extended Clifford group. In dimension three, each group covariant SIC~POVM may
be covariant with respect to three or nine HW groups, and the symmetry group of
the SIC~POVM is a subgroup of at least one of the Clifford groups of these HW
groups respectively. There may exist two or three orbits of equivalent
SIC~POVMs for each group covariant SIC~POVM, depending on the order of its
symmetry group. We then establish a complete equivalence relation among group
covariant SIC~POVMs in dimension three, and classify inequivalent ones
according to the geometric phases associated with fiducial vectors. Finally, we
uncover additional SIC~POVMs by regrouping of the fiducial vectors from
different SIC~POVMs which may or may not be on the same orbit of the extended
Clifford group.Comment: 30 pages, 1 figure, section 4 revised and extended, published in J.
Phys. A: Math. Theor. 43, 305305 (2010
On the S-wave piD-scattering length in the relativistic field theory model of the deuteron
The S-wave scattering length of the strong pion-deuteron (pi D) scattering is
calculated in the relativistic field theory model of the deuteron suggested in
[1,2].The theoretical result agrees well with the experimental data. The
important role of the Delta-resonance contribution to the elastic pi
D-scattering is confirmed.Comment: 7 pages, no figures, accepted for publication in Z. Phys.
Geometrical locus of massive test particle orbits in the space of physical parameters in Kerr space-time
Gravitational radiation of binary systems can be studied by using the
adiabatic approximation in General Relativity. In this approach a small
astrophysical object follows a trajectory consisting of a chained series of
bounded geodesics (orbits) in the outer region of a Kerr Black Hole,
representing the space time created by a bigger object. In our paper we study
the entire class of orbits, both of constant radius (spherical orbits), as well
as non-null eccentricity orbits, showing a number of properties on the physical
parameters and trajectories. The main result is the determination of the
geometrical locus of all the orbits in the space of physical parameters in Kerr
space-time. This becomes a powerful tool to know if different orbits can be
connected by a continuous change of their physical parameters. A discussion on
the influence of different values of the angular momentum of the hole is given.
Main results have been obtained by analytical methods.Comment: 26 pages, 12 figure
Rotating black rings on Taub-NUT
In this paper, we construct new solutions describing rotating black rings on
Taub-NUT using the inverse-scattering method. These are five-dimensional vacuum
space-times, generalising the Emparan-Reall and extremal Pomeransky-Sen'kov
black rings to a Taub-NUT background space. When reduced to four dimensions in
Kaluza-Klein theory, these solutions describe (possibly rotating) electrically
charged black holes in superposition with a finitely separated magnetic
monopole. Various properties of these solutions are studied, from both a five-
and four-dimensional perspective.Comment: 33 pages, 3 figures, LaTe
Quantum (in)stability of 2D charged dilaton black holes and 3D rotating black holes
The quantum properties of charged black holes (BHs) in 2D dilaton-Maxwell
gravity (spontaneously compactified from heterotic string) with dilaton
coupled scalars are studied. We first investigate 2D BHs found by McGuigan,
Nappi and Yost. Kaluza-Klein reduction of 3D gravity with minimal scalars leads
also to 2D dilaton-Maxwell gravity with dilaton coupled scalars and the
rotating BH solution found by Ba\~nados, Teitelboim and Zanelli (BTZ) which can
be also described by 2D charged dilatonic BH. Evaluating the one-loop effective
action for dilaton coupled scalars in large (and s-wave approximation for
BTZ case), we show that quantum-corrected BHs may evaporate or else
anti-evaporate similarly to 4D Nariai BH as is observed by Bousso and Hawking.
Higher modes may cause the disintegration of BH in accordance with recent
observation by Bousso.Comment: LaTeX file and ps files for figures, new section is added, title is
change
Adevărul ca semnificaţie a destinului: reflecţii despre Raymond Aron
The author sketches a vivid intellectual history of the content and bearing of Raymond Aron's work, particularly with respect to the great scholar’s analyses of totalitarian regimes and of Marxism as a "Christian heresy". He describes the dominant themes of the French philosopher, political scientist, sociologist, historian and journalist from The Opium of the Intellectuals, to Progress and Disillusion: the Dialectics of Modern Society, or Peace and War: A Theory of International Relations; from De Gaulle, Israel and the Jews to Politics and History, or to Main Currents in Sociological Thought; from Marxism and the Existentialists, to Introduction to the Philosophy of History: An Essay on the Limits of Historical Objectivity; and from In Defense of Decadent Europe, to the Memoirs and to the Committed Observer… and this list is not an exhaustive one. He writes about the most prominent of Aron's contemporaries, and about his most enthusiastic followers, particularly in the Western world. As an autobiographical detail, Tismăneanu does not fail to mention Aron's readership among the Romanian students before the fall of the Berlin wall, a triumphant moment which the great champion of "methodological doubt" and the enemy of total metaphysics and ideological orthodoxies did not live to witness
Scattering from an AdS_3 bubble and an exact AdS_3
We investigate the close relationship between the potential and absorption
cross section for test fields in an AdS bubble(a 5D black hole) and an
exact AdS. There are two solutions in type IIB string theory: an AdS
bubble corresponds to the dilatonic solution, while an exact AdS is the
non-dilatonic solution. In order to obtain the cross section for an AdS
bubble, we introduce the \{out\}-state scattering picture with the AdS-AFS
matching procedure. For an exact AdS, one considers the \{in\}-state
scattering picture with the AdS-AdS matching. Here the non-normalizable
modes are crucially taken into account for the matching procedure. It turns out
that the cross sections for the test fields in an AdS bubble take the same
forms as those in an exact AdS. This suggests that in the dilute gas and
the low energy limits, the S-matrix for an AdS bubble can be derived from
an exact AdS space.Comment: revised version to appear in Physical Review D, 26 pages with
embedded 5 EPS figures in RevTex forma
Kaluza-Klein Pistons with non-Commutative Extra Dimensions
We calculate the scalar Casimir energy and Casimir force for a
Kaluza-Klein piston setup in which the extra dimensional space contains a
non-commutative 2-sphere, . The cases to be studied are and respectively as extra dimensional spaces, with the
dimensional commutative torus. The validity of the results and the
regularization that the piston setup offers are examined in both cases. Finally
we examine the 1-loop corrected Casimir energy for one piston chamber, due to
the self interacting scalar field in the non-commutative geometry. The
computation is done within some approximations. We compare this case for the
same calculation done in Minkowski spacetime . A discussion on the
stabilization of the extra dimensional space within the piston setup follows at
the end of the article.Comment: 22 page
Axisymmetric metrics in arbitrary dimensions
We consider axially symmetric static metrics in arbitrary dimension, both
with and without a cosmological constant. The most obvious such solutions have
an SO(n) group of Killing vectors representing the axial symmetry, although one
can also consider abelian groups which represent a flat `internal space'. We
relate such metrics to lower dimensional dilatonic cosmological metrics with a
Liouville potential. We also develop a duality relation between vacuum
solutions with internal curvature and those with zero internal curvature but a
cosmological constant. This duality relation gives a solution generating
technique permitting the mapping of different spacetimes. We give a large class
of solutions to the vacuum or cosmological constant spacetimes. We comment on
the extension of the C-metric to higher dimensions and provide a novel solution
for a braneworld black hole.Comment: 36 pages, LaTeX (JHEP), 4 figures, section added (published version
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