1,501 research outputs found
Physical Properties of Quantum Field Theory Measures
Well known methods of measure theory on infinite dimensional spaces are used
to study physical properties of measures relevant to quantum field theory. The
difference of typical configurations of free massive scalar field theories with
different masses is studied. We apply the same methods to study the
Ashtekar-Lewandowski (AL) measure on spaces of connections. We prove that the
diffeomorphism group acts ergodically, with respect to the AL measure, on the
Ashtekar-Isham space of quantum connections modulo gauge transformations. We
also prove that a typical, with respect to the AL measure, quantum connection
restricted to a (piecewise analytic) curve leads to a parallel transport
discontinuous at every point of the curve.Comment: 24 pages, LaTeX, added proof for section 4.2, added reference
Toric K\"ahler metrics seen from infinity, quantization and compact tropical amoebas
We consider the metric space of all toric K\"ahler metrics on a compact toric
manifold; when "looking at it from infinity" (following Gromov), we obtain the
tangent cone at infinity, which is parametrized by equivalence classes of
complete geodesics. In the present paper, we study the associated limit for the
family of metrics on the toric variety, its quantization, and degeneration of
generic divisors.
The limits of the corresponding K\"ahler polarizations become degenerate
along the Lagrangian fibration defined by the moment map. This allows us to
interpolate continuously between geometric quantizations in the holomorphic and
real polarizations and show that the monomial holomorphic sections of the
prequantum bundle converge to Dirac delta distributions supported on
Bohr-Sommerfeld fibers.
In the second part, we use these families of toric metric degenerations to
study the limit of compact hypersurface amoebas and show that in Legendre
transformed variables they are described by tropical amoebas. We believe that
our approach gives a different, complementary, perspective on the relation
between complex algebraic geometry and tropical geometry.Comment: v1: 32 pages, 5 figures; v2: 1 figure added; v3: 1 reference added;
v4: some reorganization, 1 theorem (now 1.1) added; v5: final version, to
appear in JD
Utilização econômica da fauna silvestre no Brasil: o exemplo do Jacaré-do-Pantanal.
bitstream/CPAP/56461/1/ADM005.pdfFormato eletrônico
Production and fate of the G ring arc particles due to Aegaeon (Saturn LIII)
The G ring arc hosts the smallest satellite of Saturn, Aegaeon, observed with
a set of images sent by Cassini spacecraft. Along with Aegaeon, the arc
particles are trapped in a 7:6 corotation eccentric resonance with the
satellite Mimas. Due to this resonance, both Aegaeon and the arc material are
confined to within sixty degrees of corotating longitudes. The arc particles
are dust grains which can have their orbital motions severely disturbed by the
solar radiation force. Our numerical simulations showed that Aegaeon is
responsible for depleting the arc dust population by removing them through
collisions. The solar radiation force hastens these collisions by removing most
of the 10m sized grains in less than 40 years. Some debris released from
Aegaeon's surface by meteoroid impacts can populate the arc. However, it would
take 30,000 years for Aegaeon to supply the observed amount of arc material,
and so it is unlikely that Aegaeon alone is the source of dust in the arc
Corredores ecológicos e ecoturismo no Pantanal.
bitstream/CPAP/56451/1/ADM014.pdfFormato eletrônico
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