3,129 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
Notes on the distribution of Oculicosa supermirabilis (Araneae, Lycosidae)
The distribution of the poorly known Central Asian wolf-spider Oculicosa supermirabilis Zyuzin, 1993 is clarified, discussed and mapped on the basis of both original and literature-derived data. The species is currently known from the Turan Lowland between the 41st and 43rd degrees of latitude north; its distribution coincides with that of the grey-brown desert soil and lies within the geobotanical sub-zone of southern deserts. Both sexes are also illustrated and diagnosed
Noncommutative space-time models
The FRT quantum Euclidean spaces are formulated in terms of Cartesian
generators. The quantum analogs of N-dimensional Cayley-Klein spaces are
obtained by contractions and analytical continuations. Noncommutative constant
curvature spaces are introduced as a spheres in the quantum Cayley-Klein
spaces. For N=5 part of them are interpreted as the noncommutative analogs of
(1+3) space-time models. As a result the quantum (anti) de Sitter, Newton,
Galilei kinematics with the fundamental length and the fundamental time are
suggested.Comment: 8 pages; talk given at XIV International Colloquium of Integrable
Systems, Prague, June 16-18, 200
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
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