2,934 research outputs found
Gauge field theory for Poincar\'{e}-Weyl group
On the basis of the general principles of a gauge field theory the gauge
theory for the Poincar\'{e}-Weyl group is constructed. It is shown that tetrads
are not true gauge fields, but represent functions from true gauge fields:
Lorentzian, translational and dilatational ones. The equations of gauge fields
which sources are an energy-momentum tensor, orbital and spin momemta, and also
a dilatational current of an external field are obtained. A new direct
interaction of the Lorentzian gauge field with the orbital momentum of an
external field appears, which describes some new effects. Geometrical
interpretation of the theory is developed and it is shown that as a result of
localization of the Poincar\'{e}-Weyl group spacetime becomes a Weyl-Cartan
space. Also the geometrical interpretation of a dilaton field as a component of
the metric tensor of a tangent space in Weyl-Cartan geometry is proposed.Comment: LaTex, 27 pages, no figure
Perfect fluid and test particle with spin and dilatonic charge in a Weyl-Cartan space
The equation of perfect dilaton-spin fluid motion in the form of generalized
hydrodynamic Euler-type equation in a Weyl-Cartan space is derived. The
equation of motion of a test particle with spin and dilatonic charge in the
Weyl-Cartan geometry background is obtained. The peculiarities of test particle
motion in a Weyl-Cartan space are discussed.Comment: 25 July 1997. - 9 p. Some corrections in the text and formulars (2.4)
and (2.8) are perfomed, the results being unchange
The variational theory of the perfect dilaton-spin fluid in a Weyl-Cartan space
The variational theory of the perfect fluid with intrinsic spin and dilatonic
charge (dilaton-spin fluid) is developed. The spin tensor obeys the classical
Frenkel condition. The Lagrangian density of such fluid is stated, and the
equations of motion of the fluid, the Weyssenhoff-type evolution equation of
the spin tensor and the conservation law of the dilatonic charge are derived.
The expressions of the matter currents of the fluid (the canonical
energy-momentum 3-form, the metric stress-energy 4-form and the dilaton-spin
momentum 3-form) are obtained.Comment: 25 July 1997. - 10 p. The variational procedure is improved, the
results being unchange
Channeling of Electrons in a Crossed Laser Field
In this article a new analytical description of the effective interaction
potential for a charged particle in the field of two interfering laser beams is
presented. The potential dependence on the lasers intensities, orientation and
parameters of the particle entering the considered system is analyzed. It is
shown for the case of arbitrary lasers crossing angle that for different values
of projectile velocity the attracting potential becomes a scattering one so
that the channel axes and borders interchange each other. In addition the
projectile radiation spectral distribution is given and general estimations on
the expected beam radiation yield are outlined
Gauss-Bonnet type identity in Weyl-Cartan space
The Gauss-Bonnet type identity is derived in a Weyl-Cartan space on the basis
of the variational method.Comment: 5 page
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