94 research outputs found
Einstein static universe as a brane in extra dimensions
We present a brane-world scenario in which two regions of space-time
are glued together along a 3-brane with constant positive curvature such that
{\em all} spatial dimensions form a compact manifold of topology . It
turns out that the induced geometry on the brane is given by Einstein's static
universe. It is possible to achieve an anisotropy of the manifold which allows
for a huge hierarchy between the size of the extra dimension and the size
of the observable universe at present. This anisotropy is also at the
origin of a very peculiar property of our model: the physical distance between
{\em any two points} on the brane is of the order of the size of the extra
dimension regardless of their distance measured with the use of the induced
metric on the brane. In an intermediate distance regime
gravity on the brane is shown to be effectively 4-dimensional, with
corresponding large distance corrections, in complete analogy with the
Randall-Sundrum II model. For very large distances we recover
gravity in Einstein's static universe. However, in contrast to the
Randall-Sundrum II model the difference in topology has the advantage of giving
rise to a geodesically complete space.Comment: 45 pages, 3 figure
Pion-Kaon Scattering near the Threshold in Chiral SU(2) Perturbation Theory
In the context of chiral SU(2) perturbation theory, pion-kaon scattering is
analysed near the threshold to fourth chiral order. The scattering amplitude is
calculated both in the relativistic framework and by using an approach similar
to heavy baryon chiral perturbation theory. Both methods lead to equivalent
results. We obtain relations between threshold parameters, valid to fourth
chiral order, where all those combinations of low-energy constants which are
not associated with chiral-symmetry breaking terms drop out. The remaining
low-energy constants can be estimated using chiral SU(3) symmetry.
Unfortunately, the experimental information is not precise enough to test our
low-energy theorems.Comment: 38 pages, 5 figures, PhD Thesis, references adde
Inflating magnetically charged braneworlds
Numerical solutions of Einstein, scalar, and gauge field equations are found
for static and inflating defects in a higher-dimensional spacetime. The defects
have -dimensional core and magnetic monopole configuration in
extra dimensions. For symmetry-breaking scale below the critical value
, the defects are characterized by a flat worldsheet geometry and
asymptotically flat extra dimensions. The critical scale is comparable
to the higher-dimensional Planck scale and has some dependence on the gauge and
scalar couplings. For , the extra dimensions degenerate into a
`cigar', and for all static solutions are singular. The
singularity can be removed if the requirement of staticity is relaxed and
defect cores are allowed to inflate. The inflating solutions have de Sitter
worldsheets and cigar geometry in the extra dimensions. Exact analytic
solutions describing the asymptotic behavior of these inflating monopoles are
found and the parameter space of these solutions is analyzed.Comment: 35 pages, revtex, 18 eps figure
Brane world in a texture
We study five dimensional brane physics induced by an O(2) texture formed in
one extra dimension. The model contains two 3-branes of nonzero tension, and
the extra dimension is compact. The symmetry-breaking scale of the texture
controls the particle hierarchy between the two branes. The TeV-scale particles
are confined to the negative-tension brane where the observer sees gravity as
essentially four dimensional. The effect of massive Kaluza-Klein gravitons is
suppressed.Comment: 25 pages, revtex, 5 eps figures, Significant changes have been made
for the tachyonic mode, One figure has been replaced, To appear in Physical
Review
Localizing gravity on a 't Hooft-Polyakov monopole in seven dimensions
We present regular solutions for a brane world scenario in the form of a 't
Hooft-Polyakov monopole living in the three-dimensional spherical symmetric
transverse space of a seven-dimensional spacetime. In contrast to the cases of
a domain-wall in five dimensions and a string in six dimensions, there exist
gravity-localizing solutions for both signs of the bulk cosmological constant.
A detailed discussion of the parameter space that leads to localization of
gravity is given. A point-like monopole limit is discussed.Comment: 29 pages, 17 figure
Stability of inflating branes in a texture
We investigate the stability of inflating branes embedded in an O(2) texture
formed in one extra dimension. The model contains two 3-branes of nonzero
tension, and the extra dimension is compact. When the gravitational
perturbation is applied, the vacuum energy which is responsible for inflation
on the branes stabilizes the branes if the symmetry-breaking scale of the
texture is smaller than some critical value. This critical value is determined
by the particle-hierarchy scale between the two branes, and is smaller than the
5D Planck-mass scale. The scale of the vacuum energy can be considerably low in
providing the stability. This stability story is very different from the
flat-brane case which always suffers from the instability due to the
gravitational perturbation.Comment: 16 pages, 5 eps figures, revte
Braneworlds in six dimensions: new models with bulk scalars
Six dimensional bulk spacetimes with 3-- and 4--branes are constructed using
certain non--conventional bulk scalars as sources. In particular, we
investigate the consequences of having the phantom (negative kinetic energy)
and the Brans--Dicke scalar in the bulk while obtaining such solutions. We find
geometries with 4--branes with a compact on--brane dimension (hybrid
compactification) which may be assumed to be small in order to realize a
3--brane world. On the other hand, we also construct, with similar sources,
bulk spacetimes where a 3--brane is located at a conical singularity.
Furthermore, we investigate the issue of localization of matter fields (scalar,
fermion, graviton, vector) on these 3-- and 4--branes and conclude with
comments on our six dimensional models.Comment: 24 pages, 1 figure, Replaced to match version published in Class.
Quant. Gra
Isospin breaking corrections to low-energy pi-K scattering
We evaluate the matrix elements for the processes pi^0 K^0 -> pi^0 K^0 and
pi^- K^+ -> pi^0 K^0 in the presence of isospin breaking terms at leading and
next-to-leading order. As a direct application the releveant combination of the
S-wave scattering lengths involved in the pion-kaon atom lifetime is
determined. We discuss the sensitivity of the results with respect to the input
parameters.Comment: 33 pages, plain latex, 2 figure
Chiral Extrapolation of the Strangeness Changing K pi Form Factor
We perform a chiral extrapolation of lattice data on the scalar K pi form
factor and the ratio of the kaon and pion decay constants within Chiral
Perturbation Theory to two loops. We determine the value of the scalar form
factor at zero momentum transfer, at the Callan-Treiman point and at its soft
kaon analog as well as its slope. Results are in good agreement with their
determination from experiment using the standard couplings of quarks to the W
boson. The slope is however rather large. A study of the convergence of the
chiral expansion is also performed.Comment: few minor change
Phase-contrast enhanced mammography: A new diagnostic tool for breast imaging
Phase contrast and scattering-based X-ray imaging can potentially revolutionize the radiological approach to breast imaging by providing additional and complementary information to conventional, absorption-based methods. We investigated native, non-fixed whole breast samples using a grating interferometer with an X-ray tube-based configuration. Our approach simultaneously recorded absorption, differential phase contrast and small-angle scattering signals. The results show that this novel technique - combined with a dedicated image fusion algorithm - has the potential to deliver enhanced breast imaging with complementary information for an improved diagnostic process
- âŠ