38 research outputs found
On Nonlinear -Models arizing in (Super-)Gravity
In a previous paper with Gibbons [CMP 120 (1987) 295] we derived a list of
three dimensional symmetric space -model obtained by dimensional
reduction of a class of four dimensional gravity theories with abelian gauge
fields and scalars. Here we give a detailed analysis of their group theoretical
structure leading to an abstract parametrization in terms of `triangular' group
elements. This allows for a uniform treatment of all these models. As an
interesting application we give a simple derivation of a `Quadratic Mass
Formula' for strictly stationary black holes.Comment: 33 pages, 1 tabl
Classification of Static, Spherically Symmetric Solutions of the Einstein-Yang-Mills Theory with Positive Cosmological Constant
We give a complete classification of all static, spherically symmetric
solutions of the SU(2) Einstein-Yang-Mills theory with a positive cosmological
constant. Our classification proceeds in two steps. We first extend solutions
of the radial field equations to their maximal interval of existence. In a
second step we determine the Carter-Penrose diagrams of all 4-dimensional
space-times constructible from such radial pieces. Based on numerical studies
we sketch a complete phase space picture of all solutions with a regular
origin.Comment: 49 pages, 19 figures, submitted to Commun. Math. Phy
Mass inflation and chaotic behaviour inside hairy black holes
We analyze the interior geometry of static, spherically symmetric black holes
of the Einstein-Yang-Mills-Higgs theory. Generically the solutions exhibit a
behaviour that may be described as ``mass inflation'', although with a
remarkable difference between the cases with and without a Higgs field. Without
Higgs field the YM field induces a kind of cyclic behaviour leading to repeated
cycles of mass inflation - taking the form of violent explosions - interrupted
by quiescent periods and subsequent approaches to an almost Cauchy horizon.
With the Higgs field no such cycles occur. In addition there are non-generic
families with a Schwarzschild resp. Reissner-Nordstr{\o}m type singularity at
r=0.Comment: 22 pages, Latex, 5 figures (8 eps files
Gravitating Monopole Solutions II
We present analytical and numerical results for static, spherically symmetric
solutions of the Einstein Yang-Mills Higgs equations corresponding to magnetic
monopoles and non-abelian magnetically charged black holes. In the limit of
infinite Higgs mass we give an existence proof for these solutions. The
stability of the abelian extremal Reissner-Nordstrom black holes is reanalyzed.Comment: 24 pages, 11 figures (uuencoded compressed tar
Quantization of the Reissner-Nordstr\"{o}m Black Hole
The Reissner--Nordstr\"{o}m family of solutions can be understood to arise
from the spherically symmetric sector of a nonlinear SO(2,1)/SO(1,1) sigma
model coupled to three dimensional Euclidean gravity. In this context a group
theoretical quantization is performed. We identify the observables of the
theory and calculate their spectra.Comment: 8 pages, Late
Gravitating BPS Monopoles in all d=4p Spacetime Dimensions
We have constructed, numerically, both regular and black hole static
solutions to the simplest possible gravitating Yang-Mills--Higgs (YMH) in
spacetime dimensions. The YMH systems consist of th power curvature fields
without a Higgs potential. The gravitational systems consist of the `Ricci
scalar' of the th power of the Riemann curvature. In 4 spacetime dimensions
this is the usual Einstein-YMH (EYMH) studied in \cite{Breitenlohner:1991aa,
Breitenlohner:1994di}, whose qualitative results we emulate exactly.Comment: 31 pages, 9 figure
Phenomenology of AdS/QCD and Its Gravity Dual
We construct the dilaton potential in the gravity dual theory of AdS/QCD for
the warp factor of Refs.{1,2}. Using this AdS_5-metric with properties similar
to QCD, we find that the gravity dual leads to a meaningful gauge coupling in
the region between the charmonium and bottonium mass, but differs slightly from
QCD in the extreme UV. When we fix the ultraviolet behavior in accord with the
beta-function, we can obtain good agreement with the overall heavy
quark-antiquark potential. Although the leading order proportional to
-\alpha^{4/3}/r differs from perturbative QCD, the full potential agrees quite
well with the short distance QCD potential in NNLO.Comment: 42 pages, 13 figures, 1 tabl
Regular solutions to higher order curvature Einstein--Yang-Mills systems in higher dimensions
We study regular, static, spherically symmetric solutions of Yang-Mills
theories employing higher order invariants of the field strength coupled to
gravity in dimensions. We consider models with only two such invariants
characterised by integers and . These models depend on one dimensionless
parameter leading to one-parameter families of regular solutions,
obtainable by numerical solution of the corresponding boundary value problem.
Much emphasis is put on an analytical understanding of the numerical results.Comment: 34 pages, 12 figure
The Two-Loop Anomalous Dimension Matrix for Weak Non-Leptonic Decays I:
We calculate the two-loop anomalous dimension matrix involving current-current operators, QCD penguin operators,
and electroweak penguin operators especially relevant for weak
non-leptonic decays, but also important for decays. The
calculation is performed in two schemes for : the dimensional
regularization scheme with anticommuting (NDR), and in the 't
Hooft-Veltman scheme. We demonstrate how a direct calculation of diagrams
involving in closed fermion loops can be avoided thus allowing a
consistent calculation in the NDR scheme. The compatibility of the results
obtained in the two schemes considered is verified and the properties of the
resulting matrices are discussed. The two-loop corrections are found to be
substantial. The two-loop anomalous dimension matrix , required for a consistent inclusion of electroweak
penguin operators, is presented in a subsequent publication.Comment: 33 page