2,690 research outputs found
Limiting Case of Modified Electroweak Model for Contracted Gauge Group
The modification of the Electroweak Model with 3-dimensional spherical
geometry in the matter fields space is suggested. The Lagrangian of this model
is given by the sum of the {\it free} (without any potential term) matter
fields Lagrangian and the standard gauge fields Lagrangian. The vector boson
masses are generated by transformation of this Lagrangian from Cartesian
coordinates to a coordinates on the sphere . The limiting case of the
bosonic part of the modified model, which corresponds to the contracted gauge
group is discussed. Within framework of the limit model
Z-boson and electromagnetic fields can be regarded as an external ones with
respect to W-bosons fields in the sence that W-boson fields do not effect on
these external fields. The masses of all particles of the Electroweak Model
remain the same, but field interactions in contracted model are more simple as
compared with the standard Electroweak Model.Comment: 12 pages, talk given at the XIII Int. Conf. on SYMMETRY METHODS IN
PHYSICS, Dubna, Russia, July 6-9, 2009; added references for introduction,
clarified motivatio
Higgsless Electroweak Model and Contraction of Gauge Group
A modified formulation of the Electroweak Model with 3-dimensional spherical
geometry in the target space is suggested. The {\it 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 experimentally verified fields with the same masses as the Standard
Electroweak Model. The vector bosons masses are automatically generated, so
there is no need in special mechanism of spontaneous symmetry breaking.
The limiting case of the modified Higgsless Electroweak Model, which
corresponds to the contracted gauge group is discussed.
Within framework of the limit model Z-boson, electromagnetic and electron
fields are interpreted as an external ones with respect to W-bosons and
neutrino fields. The W-bosons and neutrino fields do not effect on these
external fields. The masses of all particles remain the same, but the field
interactions in contracted model are more simple as compared with the standard
Electroweak Model due to nullification of some terms.Comment: Talk at the International Workshop "`Supersymmetries and Quantum
Symmetries"' (SQS-09), Dubna, Russia, July 29 -- August 3, 2009, 11
Cayley--Klein Contractions of Quantum Orthogonal Groups in Cartesian Basis
Spaces of constant curvature and their motion groups are described most
naturally in Cartesian basis. All these motion groups also known as CK groups
are obtained from orthogonal group by contractions and analytical
continuations. On the other hand quantum deformation of orthogonal group is most easily performed in so-called symplectic basis. We reformulate its
standard quantum deformation to Cartesian basis and obtain all possible
contractions of quantum orthogonal group both for untouched and
transformed deformation parameter. It turned out, that similar to undeformed
case all CK contractions of are realized. An algorithm for obtaining
nonequivalent (as Hopf algebra) contracted quantum groups is suggested.
Contractions of are regarded as an examples.Comment: The statement of the basic theorem have correct. 30 pages, Latex.
Report given at X International Conference on Symmetry Methods in Physics,
August 13-19, 2003, Yerevan, Armenia. Submitted in Journal Physics of Atomic
Nucle
The Quantum Symplectic Cayley-Klein Groups
The contraction method applied to the construction of the nonsemisimple
quantum symplectic Cayley-Klein groups . This groups has been
realised as Hopf algebra of the noncommutative functions over the algebra with
nilpotent generators. The dual quantum algebras are constructed.Comment: 6 pages, LaTeX, submitted to Proceedings of ' II International
Workshop on Classical and Quantum Integrible Systems' (Dubna, 8-12
July,1996), to be published in Int.J.Mod.Phy
Contractions of Integrable Equations
The contraction is applied to obtaining of integrable systems associated with
nonsemisimple algebras. The effect of contraction is splitting off some
components from initial system without loss of integrability.Comment: 6 pages, LaTeX, submitted to Proceedings of ' II International
Workshop on Classical and Quantum Integrible Systems' (Dubna, 8-12
July,1996), to be published in Int.J.Mod.Phy
GHz sandwich strip inductors based on Fe-N Films
Planar strip inductors consisting of two Fe-N films enclosing a conducting
film made of Cu, were fabricated on oxidized Si substrates. The inductors were
1mm long, 2 to 100 um wide, with layers of thickness ~0.1 um for the magnetic
films and ~0.5 um for the conductor. The soft (Hc=4-8 Oe) magnetic layers were
biased during impedance measurement by applying an external field along the
strip length thereby facilitating the transverse susceptibility configuration.
Biased strips exhibited 70 to 100% inductance enhancement at 1GHz with quality
factors Q=4.5 to 3, respectively. The magnetic contribution to the total flux
in the narrow devices was less than predicted theoretically, which was
attributed to hardening of the magnetic material at the edges of the strip,
where the deposition was close to 60 degree incidence. Test films were
fabricated on tilted substrates and found to develop a very high anisotropy (up
to 1 kOe) for deposition angles larger than 30 degrees. Optimizing the flux
closure at the strip edges and using thicker conductor layers is essential for
further improving the performance of sandwich strip inductors.Comment: 18 pages, 9 figure
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