
Title:
Supersymmetry becomes precision physics
Author:
Wolfgang Hollik
Comments:
104 pages, no figures
Abstract: Precision
calculations in the frame of in the minimal supersymmetric
standard model are reviewed for (i) electroweak
precision observables, (ii) Higgs boson masses,
and (iii) supersymmetric particle masses, production
cross sections and decay rates.
Title:
Lattice QCD Study for Confinement and Hadrons
Authors:
Hideo Suganuma, Hiroko
Ichie, Fumiko Okiharu and Toru T. Takahashi
Comments:
10
pages, 10 figures
Abstract: Using
SU(3) lattice QCD, we perform the detailed studies
of the threequark and the multiquark potentials.
From the accurate calculation for more than
300 different patterns of 3Q systems, the static
groundstate 3Q potential $V_{ 3Q}^{ g.s.}$
is found to be well described by the Coulomb
plus Ytype linear potential (YAnsatz) within
1\%level deviation. As a clear evidence for
YAnsatz, Ytype fluxtube formation is actually
observed on the lattice in maximallyAbelian
projected QCD. For about 100 patterns of 3Q
systems, we perform the accurate calculation
for the 1st excitedstate 3Q potential $V_{3Q}^{e.s.}$
by diagonalizing the QCD Hamiltonian in the
presence of three quarks, and find a large gluonicexcitation
energy $\Delta E_{ 3Q} \equiv V_{3Q}^{ e.s.}V_{3Q}^{g.s.}$
of about 1 GeV, which gives a physical reason
of the success of the quark model. $\Delta E_{3Q}$
is found to be reproduced by the “inverse
Mercedes Ansatz”, which indicates a complicated
bulk excitation for the gluonicexcitation mode.
We study also the tetraquark and the pentaquark
potentials in lattice QCD, and find that they
are well described by the OGE Coulomb plus multiY
type linear potential, which supports the fluxtube
picture even for the multiquarks.
Title:
Local
Currents for a Stable Algebra of Quantum Mechanics
Authors:
Gerald A. Goldin and Sarben
Sarkar
Comments:
7 pages, no figures
Abstract:
Beginning with nonrelativistic local current algebra
in two space dimensions, we show how to recover
a certain deformed algebra of quantum mechanics
in one space dimension discussed by Vilela Mendes,
having a fundamental length scale $\ell$. The
extra dimension becomes an unobservable internal
degree of freedom in the $\ell \to 0$ limit. This
hints at a new possible interpretation of representations
of the local current algebra, not as describing
conventional bosonic, fermionic, or anionic particles
in twospace, but as describing systems having
such features in the deformed onedimensional
quantum mechanics. We also look at discretized
local currents within irreducible representations
of the deformed algebra
Title:
A
QFT Realisation of KacMoody Theory of Lie Algebras
Authors:
El Hassan Saidi
Comments:
8 pages, 3 figures
Abstract:
We
construct the structure of a graded $q$differential
algebra on a ${\bf Z}_N$graded algebra by means
of a graded $q$commutator. We apply this construction
to a reduced quantum plane and study the first
order differential calculus on a reduced quantum
plane induced by the $N$differential of the graded
$q$differential algebra.
Title:
Nonperturbative Results for QED on Noncommutative
Spaces
Authors:
W. Bietenholz, A. Bigarini,
F. Hofheinz, J. Nishimura, Y. Susaki and J. Volkholz
Comments:
8 pages, 7 figures
Abstract:
We
present nonperturbative results for $U(1)$ gauge
theory in spaces, which include a noncommutative
plane. In contrast to the commutative space, such
gauge theories involve a YangMills type interaction
term. The Wilson loop is complex on the nonperturbative
level. We first consider the 2d case: small Wilson
loops are (almost) real and follow an area law,
whereas for large Wilson loops the complex phase
rises linearly with the area. In $d=4$ the behaviour
is qualitatively similar for loops in the noncommutative
plane, whereas the loops in other planes follow
closely the commutative pattern. In both cases
we also discuss the extrapolation of our results
to the continuum and infinite volume by means
of a Double Scaling Limit.

Title:
Charged Open Strings in a Background Field and
EulerHeisenberg Effective Action
Authors:
Stefano Sciuto
Comments:
4 pages, no figures
Abstract:
This
talk is based on work made with L. Magnea and
R. Russo \cite{noi}. We give an explicit expression
of the multiloop partition function of open bosonic
string theory in the presence of a constant gauge
field strength. The Schottky parameterization
allows to perform the field theory limit, which
at twoloop level reproduces the EulerHeisenberg
effective action for adjoint scalars minimally
coupled to the background gauge field.
Title:
Spectral Geometry: Case of Quantum Spheres
Authors:
Andrzej Sitarz
Comments:
6 pages, no figures
Abstract:
We review the ideas of noncommutative spectral
geometry a la Connes and illustrate it with an
example of quantum twosphere.
Title:
Approach Unifying Spins and Charges in d=14 Predicts
Properties of Four Families of Quarks and Leptons
Authors: N.
Mankoc Borstink
Comments: 9 pages, no figures
Abstract:
Ten years ago the approach
unifying all the internal degrees of freedom that
is the spin and all the charges into only the
spin  was proposed \cite{norma92portoroz03}.
In this approach spinors, living in $d (=1+13)$dimensional
space, carry only the spin and interact with only
the gravity through spin connections and vielbeins.
After assuming appropriate breaks of symmetries
a spin manifests in $d\=(1+3)$ ''physical'' space
as the spin and all the known charges, while the
covariant derivative of a spinor in $d(=1+13)$
manifests as the observable covariant derivative
in $d=1+3$ and as the mass terms, leading to masses
of four families of quarks and leptons and to
the corresponding mixing matrices.
AJMP/0609[
ps,pdf]
:
Title:
Perturbative Approach to $U_A(1)$ Breaking
Authors: Brigitte Hiller,
Alexander A. Osipov, Alex H. Blin
Comments: 8 pages, no figures
Abstract:
The sixquark instanton induced 't Hooft interaction
is considered in combination with the NambuJonaLasinio
(NJL) type $U_L(3)\times U_R(3)$ chiral symmetric
Lagrangian. We discuss the bosonization of this
multiquark interaction, taking the $U_A(1)$ breaking
as a perturbation. We discuss its relation with
the usual approach
Title:
Supersymmetric Models and CP Violation in B Decays
Authors:
Shaaban Khalil
Comments:
12 pages, 8 figures
Abstract:
In
this talk CP violation in the supersymmetric models,
and especially in $B$ decays is discussed. We review
our analysis of the supersymmetric contributions to
the mixing CP asymmetries of $B\to \phi K_S$ and $B\to
\eta^{\prime} K_S$ processes. Both gluino and chargino
exchanges are considered in a model independent way
by using the mass insertion approximation method. The
QCD factorization method is used, and parameterization
of this method in terms of Wilson coefficients is presented
in both decay modes. Correlations between the CP asymmetries
of these processes and the direct CP asymmetry in $b\to
s \gamma$ decay are shown.
discuss its relation with the usual approach.
 AJMP/0611[
ps,
pdf] :
Title:
Complete oneloop: to stop and sbottom decays into
$Z$ and $W^{\pm}$ bosons
Authors:
Abdesslam Arhrib and Rachid Benbrik
Comments:
7 pages, 7 figures
Abstract:
The
complete oneloop radiative corrections to third generation
scalar fermions into gauge bosons $Z$ and $W^\pm$ is
considered. We focus on $\wt{f}_2 \to Z \wt{f}_1$ and
$\wt{f}_i \to W^\pm \wt{f}_1^\prime$, $f,f^\prime =t,b$.
We include both SUSYQCD, QED and full electroweak corrections.
It is found that the electroweak corrections can be
of the same order as the SUSYQCD corrections. The two
sets of corrections interfere destructively in some
region of parameter space. The full one loop correction
can reach 10\% in some SUGRA scenario, while in model
independent analysis like general MSSM, the one loop
correction can reach 20\% for large $\tan\beta$ and
large trilinear soft breaking terms $A_b$.
Title:
Solving the $B\to\pi\pi$ and $B\to\pi K$ puzzles
Authors:
Stefan Recksiegel
Comments:
10 pages, 1 figures
Abstract:
Gravity
and quantum physics become inseparable at the Planck
scale. This leads to the expectation that the spacetime
metric itself behaves as a quantum variable. In the
present work, this behavior is modeled as conformal
variations about the classical background metric. The
scalar field which describes these variations represents
the quantum fluctuations; it is treated in lowest order
by employing the classical variation principle. Variation
of the gravitational action leads thus to a modified
Einstein equation, where the new extra term is interpreted
as a cosmological constant. The resulting equation of
motion for the expanding universe is capable of accommodating
the current observational data, which indicate an accelerating
expansion during the current epoch.
 AJMP/0613[
ps,
pdf] :
Title:
Some Remarks on TreeLevel Vacuum Stability in Two
Higgs Doublet Models
Authors:
A. Barroso, P.M. Ferreira and
R. Santos
Comments:
7 pages, 1 figures
Abstract:
It is proved that the minimum of a general two Higgs
doublet model's potential is stable at tree level.
A relation between stability and flavor changing neutral
currents at tree level is shown.
 AJMP/0614[
ps,
pdf] :
Title:
Signatures of Collisional Annihilation in UltraHigh
Energy Cosmic Rays
Authors:
Rainer Dick, Karla M. Hopp, Kai
E. Wunderle
Comments:
9 pages, 1 figures
Abstract:
We
first review the motivations and main aspects of the
proposal that ultra high energy cosmic rays originate
in collisional annihilation of superheavy dark matter
particles in our galactic halo. We then emphasize that
the various proposals for the origin of ultra high energy
cosmic rays predict qualitatively different patterns
of arrival directions for primary cosmic ray energies
beyond the GZK bound. We expect that in about three
years the anisotropy signal observed by the Pierre Auger
observatory will tell us which proposal was correct.
 AJMP/0615[
ps,
pdf] :
Title:
Planck Scale Variations of the Metric Tensor Leading
to a Cosmological Constant
Authors:
Alex H. Blin
Comments:
7 pages, 3 figures
Abstract:
Gravity
and quantum physics become inseparable at the Planck
scale. This leads to the expectation that the spacetime
metric itself behaves as a quantum variable. In the
present work, this behavior is modeled as conformal
variations about the classical background metric. The
scalar field which describes these variations represents
the quantum fluctuations; it is treated in lowest order
by employing the classical variation principle. Variation
of the gravitational action leads thus to a modified
Einstein equation, where the new extra term is interpreted
as a cosmological constant. The resulting equation of
motion for the expanding universe is capable of accommodating
the current observational data, which indicate an accelerating
expansion during the current epoch.
 AJMP/0616[
ps,
pdf] :
Title:
Anharmonic Oscillator Hamiltonian and Multiple Scale
Techniques
Authors:
M. Capdequi Peyranère
Comments:
9 pages, no figures
Abstract:
A
multiple scale technique is applied to the quantum anharmonic
oscillator in the Heisenberg picture, leading to interesting
features of the solution of the Heisenberg equations
of motion and of the Hamiltonian spectrum. Remarks on
the classical case are also sketched.
Title:
Extension of the Poincar\'e Symmetry for $p$ Forms
Authors:
G. Moultaka, M. Rausch de Traubenberg
and A. Tanasa
Comments:
5 pages, no figures
Abstract:
A
nontrivial extension of the $D$dimensional Poincaré
algebra is investigated. It is shown that this extension
acts in a natural geometric way on antisymmetric gauge
fields or $p$forms. Some field theoretical aspects
of this symmetry are studied and invariant Lagrangians
are explicitly given.
 AJMP/0618[
ps,
pdf] :
Title:
Confining Interquark Potentials Driven by Scalar Field
in Non Abelian Gauge Theories: A Review
Authors:
M. Chabab, L. Sanhaji
Comments:
11 pages, no figures
Abstract:
In
this review paper, we revisit in Part I some of the
most recent work on confinement in 4d gauge theories
with a massive scalar field (dilaton). Emphasis is put
on the derivation of confining analytical solutions
to the Coulomb problem versus dilaton effective couplings
to gauge terms. It is shown that these effective theories
can be relevant to model quark confinement and may shed
some light on confinement mechanism. In part II, we
solve the semirelativistic wave equation, for Dick
interquark potential using the Shifted$l$ expansion
technique (SLET) in the heavy meson sector. The results
of this study proves that phenomenological investigation
of this mechanism is more than justified and deserves
more efforts.
 AJMP/0619[
ps,
pdf] :
Title:
CarnotCarathéodory Metric vs Gauge Fluctuation
in Noncommutative Geometry
Authors:
Pierre Martinetti
Comments:
6 pages, 4 figures
Abstract:
In
this talk we give an overview on the metric aspect of
noncommutative geometry, especially the metric interpretation
of gauge fields via the process of {fluctuation of the
metric}. Connes' distance formula associates to a gauge
field on a bundle $P$ equipped with a connection $H$
a metric that coincides with the horizontal metric as
soon as the holonomy is trivial. Otherwise we exhibit
an elementary example on a $2$torus in which the noncommutative
metric $d$ is somehow more interesting than the horizontal
one since $d$ preserves the $S^1$structure of the fiber
and also guarantees the smoothness of the length function
at the cutlocus. In this sense the fiber appears as
an object "smoother than a circle". As a consequence,
from a intrinsic metric point of view any observer on
the fiber can equally pretend to be "the center
of the world".
Title:
Quantum Symmetries of the $\mathcal{A}_{{4}}$\ Graphs
of the DiFrancescoZuber System
Authors:
D. Hammaoui and E. H. Tahri
Comments:
7 pages, 4 figures
Abstract:
This
work is devoted to the study of quantum symmetries of
the $\mathcal{A}_{4}$\ graphs of the $su(3)$ system
in an algebraic point of view.\\{\it Proceedings of
the international conference on high energy physics
and mathematical physics, Marrakech march 2005.}
Keywords: CFT, fusion algebras, quantum symmetries and
weak Hopf algebras.
observer on the fiber can equally pretend to be "the
center of the world".
Title:
On the Critical SpaceTime Dimensions of Parasuperstrings
Authors:
N. Belaloui and L. Khodja
Comments:
10 pages, no figures
Abstract:
We
investigate the extension of the superstring theory
in the formalism of the paraquantization. Unlike the
quantum superstrings which are defined at spacetime
dimension D=10, in the case of the parasuperstrings,
the four spacetime dimensions D=3,4,6,10, (in which
the classical superstrings can be formulated) survive.
The consequences of this study on the heterotic parastrings
is investigated, we found that in addition to the ordinary
case (26,10) of the spacetime dimensions in which the
heterotic string can be formulated, in the case of the
heterotic parastrings, only survives the case (14,6)
which is based on the only possible group E8.
Title:
On a Graded $q$Differential Algebra
Authors:
Viktor Abramov
Comments:
4 pages, no figures
Abstract:
We
construct the structure of a graded $q$differential
algebra on a ${\bf Z}_N$graded algebra by means of
a graded $q$commutator. We apply this construction
to a reduced quantum plane and study the first order
differential calculus on a reduced quantum plane induced
by the $N$differential of the graded $q$differential
algebra.
Title:
Mott Scattering of Polarized Electrons in a Strong Laser
Field
Authors:
B. Manaut, S. Taj and Y. Attaourti
Comments:
6 pages, 6 figures
Abstract:
We
present analytical and numerical results of the relativistic
calculation of the transition matrix element $S_{fi}$
and differential cross sections for Mott scattering
of initially polarized Dirac particles (electrons) in
the presence of strong laser field with linear polarization.
We use exact DiracVolkov wave functions to describe
the dressed electrons and the collision process is treated
in the first Born approximation. The influence of the
laser field on the degree of polarization of the scattered
electron is reported.
Title:
Crosstalk and Energy Resolution Studies in the ATLAS
Electromagnetic EndCap Calorimeter
Authors:
A. Elkharrim, J. Derkaoui, F.
Maaroufi and B. Dekhissi
Comments:
6 pages, 10 figures
Abstract:
ATLAS
(A Toroidal LHC ApparatuS) is one of the experiments
at the Large Hadron Collider (LHC) at CERN planned to
be operational by the year 2007. The main goal of the
experiment is the discovery of the Higgs boson, the
missing piece in the Standard Model (SM) of Particle
Physics and to explore physics beyond the SM. The accordionshaped
Electromagnetic Calorimeter EndCap (EMEC) is one of
the ATLAS subdetectors designed to stop e+, e and
photons coming from the collision by forcing them to
make an electromagnetic shower. One of the basic requirements
set on the detector by the ATLAS physics is an excellent
energy resolution over a wide energy range. As long
as the energy measurements are closely linked to system
electronics, the study of crosstalk signals appears
to be necessary.
only survives the case (14,6) which is based on the
only possible group E8.


Title:
Corrélation entre des Mesures au Sol d'épaisseur
Optique des Aérosols et des Mesures Satellitaires
TOMS Earth Probe d'Indice en Aérosol sur la Région
de Marrakech
Authors:
A. Bounhir, E.A. Siher and Z.
Benkhaldoun
Comments:
9 pages, 9 figures
Abstract: Le
but de ce travail est d'étudier la corrélation
entre des mesures au sol d'épaisseur optique
des aérosols et leurs indices mesurés
par le satellite Earth Probe TOMS (Total Ozone Mapping
Spectrometer). Les séries de mesures satellitaires
concernent la région de Marrakech et le site
des mesures au sol se trouve à 12 Km de la ville
de Marrakech. De part sa position géographique,
cette région est connue pour ses aérosols
de type désertiques. Une corrélation satisfaisante
a été établie entre l'indice en
aérosol et l'épaisseur optique. Le facteur
de corrélation dépasse les 80\%.
Title:
The Search for High Energy Cosmic Rays Flux Variations
in an underground Detector
Authors:
A. Moussa, H. Dekhissi, F. Maaroufi,
J. Derkaoui
Comments:
5 pages, 5 figures
Abstract:
We
present the result of a search for muons flux variations.
About 10 million highenergy muons, collected with the
MACRO detector at the underground Gran Sasso Laboratory,
have been used for this analysis. Two different analysis
were used to search for the occurrence of clusters of
events: time interval distribution and scan statistics.
The results of our analyzes confirm with high statistics
a random arrival time distribution of high energy cosmic
rays (CR).
Copyright
© African Journal of Mathematical Physics
