10,834 research outputs found
Homogeneous geodesics of non-unimodular Lorentzian Lie groups and naturally reductive Lorentzian spaces in dimension three
We determine, for all three-dimensional non-unimodular Lie groups equipped
with a Lorentzian metric, the set of homogeneous geodesics through a point.
Together with the results of [C] and [CM2], this leads to the full
classification of three-dimensional Lorentzian g.o. spaces and naturally
reductive spaces
Coherent states for the q-deformed quantum mechanics on a circle
The q-deformed coherent states for a quantum particle on a circle are
introduced and their properties investigated.Comment: 11 pages, 2 PostScript figure
The Behaviour of the Green Function for the BFKL Pomeron with Running Coupling
We analyse here in LO the physical properties of the Green function solution
for the BFKL equation. We show that the solution obeys the orthonormality
conditions in the physical region and fulfills the completeness requirements.
The unintegrated gluon density is shown to consists of a set of few poles with
parameters which could be determined by comparison with the DIS data of high
precision
Tsallis' deformation parameter q quantifies the classical-quantum transition
We investigate the classical limit of a type of semiclassical evolution, the
pertinent system representing the interaction between matter and a given field.
On using as a quantifier of the ensuing dynamics Tsallis q-entropy, we
encounter that it not only appropriately describes the quantum-classical
transition, but that the associated deformation-parameter q itself
characterizes the different regimes involved in the process, detecting the most
salient fine details of the changeover.Comment: 19 pages, 7 figure
Indirect Evidence for New Physics at the 10 TeV Scale
We show that the supersymmetric extension of the Standard Model modifies the
structure of the low lying BFKL discrete pomeron states (DPS) which give a
sizable contribution to the gluon structure function in the HERA x and Q2
region. The comparison of the gluon density, determined within DPS with N=1
SUSY, with data favours a supersymmetry scale of the order of 10 TeV. The DPS
method described here could open a new window to the physics beyond the
Standard Model.Comment: 14 pages, 6 figure
Coherent states for a particle on a sphere
The coherent states for a particle on a sphere are introduced. These states
are labelled by points of the classical phase space, that is the position on
the sphere and the angular momentum of a particle. As with the coherent states
for a particle on a circle discussed in Kowalski K {\em et al} 1996 {\em J.
Phys. A} {\bf 29} 4149, we deal with a deformation of the classical phase space
related with quantum fluctuations. The expectation values of the position and
the angular momentum in the coherent states are regarded as the best possible
approximation of the classical phase space. The correctness of the introduced
coherent states is illustrated by an example of the rotator.Comment: LaTeX, 16 pages, 2 figure
The status and future of EUV astronomy
The Extreme Ultraviolet wavelength range was one of the final windows to be
opened up to astronomy. Nevertheless, it provides very important diagnostic
tools for a range of astronomical objects, although the opacity of the
interstellar medium restricts the majority of observations to sources in our
own galaxy. This review gives a historical overview of EUV astronomy, describes
current instrumental capabilities and examines the prospects for future
facilities on small and medium-class satellite platforms.Comment: Published in Advances in Space Researc
Scalar field theory on -Minkowski space-time and Doubly Special Relativity
In this paper we recall the construction of scalar field action on
-Minkowski space-time and investigate its properties. In particular we
show how the co-product of -Poincar\'e algebra of symmetries arises
from the analysis of the symmetries of the action, expressed in terms of
Fourier transformed fields. We also derive the action on commuting space-time,
equivalent to the original one. Adding the self-interaction term we
investigate the modified conservation laws. We show that the local interactions
on -Minkowski space-time give rise to 6 inequivalent ways in which
energy and momentum can be conserved at four-point vertex. We discuss the
relevance of these results for Doubly Special Relativity.Comment: 17 pages; some editing done, final version to be published in Int. J.
Mod. Phys.
Relative Locality in -Poincar\'e
We show that the -Poincar\'e Hopf algebra can be interpreted in the
framework of curved momentum space leading to the relativity of locality
\cite{AFKS}. We study the geometric properties of the momentum space described
by -Poincar\'e, and derive the consequences for particles propagation
and energy-momentum conservation laws in interaction vertices, obtaining for
the first time a coherent and fully workable model of the deformed relativistic
kinematics implied by -Poincar\'e. We describe the action of boost
transformations on multi-particles systems, showing that in order to keep
covariant the composed momenta it is necessary to introduce a dependence of the
rapidity parameter on the particles momenta themselves. Finally, we show that
this particular form of the boost transformations keeps the validity of the
relativity principle, demonstrating the invariance of the equations of motion
under boost transformations.Comment: 24 pages, 4 figures, 1 table. v2 matches accepted CQG versio
- …