514 research outputs found
Some results and problems for anisotropic random walks on the plane
This is an expository paper on the asymptotic results concerning path
behaviour of the anisotropic random walk on the two-dimensional square lattice
Z^2. In recent years Mikl\'os and the authors of the present paper investigated
the properties of this random walk concerning strong approximations, local
times and range. We give a survey of these results together with some further
problems.Comment: 20 page
Higgsless Electroweak Theory following from the Spherical Geometry
A new formulation of the Electroweak Model with 3-dimensional spherical
geometry in the target space is suggested. The free Lagrangian in the spherical
field space along with the standard gauge field Lagrangian form the full
Higgsless Lagrangian of the model, whose second order terms reproduce the same
fields with the same masses as the Standard Electroweak Model. The vector
bosons and electron masses are generated automatically, so there is no need in
special mechanism.Comment: 6 page
New Confining N=1 Supersymmetric Gauge Theories
We examine N=1 supersymmetric gauge theories which confine in the presence of
a tree-level superpotential. We show the confining spectra which satisfy the 't
Hooft anomaly matching conditions and give a simple method to find the
confining superpotential. Using this method we fix the confining
superpotentials in the simplest cases, and show how these superpotentials are
generated by multi-instanton effects in the dual theory. These new type of
confining theories may be useful for model building, since the size of the
matter content is not restricted by an index constraint. Therefore, one expects
that a large variety of new confining spectra can be obtained using such
models.Comment: 26 pages, LaTe
Various Modified Solutions of the Randall-Sundrum Model with the Gauss-Bonnet Interaction
The Gauss-Bonnet interaction is the only consistent quadratic interaction
below the Planck scale in the Randall-Sundrum compactification. We study
various static and inflationary solutions including this Gauss-Bonnet
interaction.Comment: 23 pages including 1 eps figur
Composite Intermediary and Mediator Models of Gauge-Mediated Supersymmetry Breaking
We discuss gauge-mediated models which employ a tree-level mass term in the
superpotential. We give explicit composite realizations in which the mass terms
are not fundamental. Instead, they arise as effective terms in the
superpotential from confining gauge dynamics.Comment: 20 pages, LaTeX, 1 figur
Toward a Systematic Holographic QCD: A Braneless Approach
Recently a holographic model of hadrons motivated by AdS/CFT has been
proposed to fit the low energy data of mesons. We point out that the infrared
physics can be developed in a more systematic manner by exploiting backreaction
of the nonperturbative condensates. We show that these condensates can
naturally provide the IR cutoff corresponding to confinement, thus removing
some of the ambiguities from the original formulation of the model. We also
show how asymptotic freedom can be incorporated into the theory, and the
substantial effect it has on the glueball spectrum and gluon condensate of the
theory. A simple reinterpretation of the holographic scale results in a
non-perturbative running for alpha_s which remains finite for all energies. We
also find the leading effects of adding the higher condensate into the theory.
The difficulties for such models to reproduce the proper Regge physics lead us
to speculate about extensions of our model incorporating tachyon condensation.Comment: 27 pages, LaTe
The shortest cut in brane cosmology
We consider brane cosmology studying the shortest null path on the brane for
photons, and in the bulk for gravitons. We derive the differential equation for
the shortest path in the bulk for a 1+4 cosmological metric. The time cost and
the redshifts for photons and gravitons after traveling their respective path
are compared. We consider some numerical solutions of the shortest path
equation, and show that there is no shortest path in the bulk for the
Randall-Sundrum vacuum brane solution, the linear cosmological solution of
Bin\'etruy, et al for , and for some expanding brane
universes.Comment: 20 pages, 7 figure
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