3,045 research outputs found
Q-complements on log surfaces
In this paper the log surfaces without \QQ-complement are classified. In
particular, they are non-rational always. This result takes off the restriction
in the theory of complements and allows one to apply it in the most wide class
of log surfaces.Comment: Latex2e, 3 page
Field theory of massive and massless vector particles in the Duffin - Kemmer - Petiau formalism
Field theory of massive and massless vector particles is considered in the
first-order formalism. The Hamiltonian form of equations is obtained after the
exclusion of non-dynamical components. We obtain the canonical and symmetrical
Belinfante energy-momentum tensors and their nonzero traces. We note that the
dilatation symmetry is broken in the massive case but in the massless case the
modified dilatation current is conserved. The canonical quantization is
performed and the propagator of the massive fields is found in the Duffin -
Kemmer - Petiau formalism.Comment: 20 pages, typos corrected, a reference added, journal version,
accepted in Int.J.Mod.Phys.
Experimental evidence for new symmetry axis of electromagnetic beams
The new symmetry axis of a well-behaved electromagnetic beam advanced in
paper Physical Review A 78, 063831 (2008) is not purely a mathematical concept.
The experimental result reported by Hosten and Kwiat in paper Science 319, 787
(2008) is shown to demonstrate the existence of this symmetry axis that is
neither perpendicular nor parallel to the propagation axis.Comment: 10 pages and 3 figure
Higher Derivative Fermionic Field Equation in the First Order Formalism
The generalized Dirac equation of the third order, describing particles with
spin 1/2 and three mass states, is analyzed. We obtain the first order
generalized Dirac equation in the 24-dimensional matrix form. The mass and spin
projection operators are found which extract solutions of the wave equation
corresponding to pure spin states of particles. The density of the
electromagnetic current is obtained, and minimal and non-minimal (anomalous)
electromagnetic interactions of fermions are considered by introducing three
phenomenological parameters. The Hamiltonian form of the first order equation
has been obtained.Comment: 16 pages, title changed, new section, appendixes, and references
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