7,105 research outputs found
New high order sufficient conditions for configuration tracking
In this paper, we propose new conditions guaranteeing that the trajectories
of a mechanical control system can track any curve on the configuration
manifold. We focus on systems that can be represented as forced affine
connection control systems and we generalize the sufficient conditions for
tracking known in the literature. The new results are proved by a combination
of averaging procedures by highly oscillating controls with the notion of
kinematic reduction.Comment: arXiv admin note: text overlap with arXiv:0911.536
Digital Architecture of the New ATLAS Pixel Chip FE-I4
With the high hit rate foreseen for the innermost layers at an upgraded LHC, the current ATLAS Front-End pixel chip FE-I3 would start being inefficient. The main source of inefficiency comes from the copying mechanism of the pixel hits from the pixel array to the end of column buffers. A new ATLAS pixel chip FE-I4 is being developed in a 130 nm technology for use both in the framework of the Insertable B-Layer (IBL) project and for the outer layers of Super-LHC. FE-I4 is 80×336 pixels wide and features a reduced pixel size of 50×250 μm2. In the current design, a new digital architecture is introduced in which hit memories are distributed across the entire chip and the pixels organized in regions. Additional features include neighbor hit checking which allows a timewalk-less hit recording
BF Actions for the Husain-Kuchar Model
We show that the Husain-Kuchar model can be described in the framework of BF
theories. This is a first step towards its quantization by standard
perturbative QFT techniques or the spin-foam formalism introduced in the
space-time description of General Relativity and other diff-invariant theories.
The actions that we will consider are similar to the ones describing the
BF-Yang-Mills model and some mass generating mechanisms for gauge fields. We
will also discuss the role of diffeomorphisms in the new formulations that we
propose.Comment: 21 pages (in DIN A4 format), minor typos corrected; to appear in
Phys. Rev.
SO(4,C)-covariant Ashtekar-Barbero gravity and the Immirzi parameter
An so(4,C)-covariant hamiltonian formulation of a family of generalized
Hilbert-Palatini actions depending on a parameter (the so called Immirzi
parameter) is developed. It encompasses the Ashtekar-Barbero gravity which
serves as a basis of quantum loop gravity. Dirac quantization of this system is
constructed. Next we study dependence of the quantum system on the Immirzi
parameter. The path integral quantization shows no dependence on it. A way to
modify the loop approach in the accordance with the formalism developed here is
briefly outlined.Comment: 14 pages, LATEX; minor changes; misprints corrected; commutator of
two secondary second class constraints correcte
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