102 research outputs found
Quantum Gravity as Theory of "Superfluidity"
A version of the cosmological perturbation theory in general relativity (GR)
is developed, where the cosmological scale factor is identified with spatial
averaging of the metric determinant logarithm and the cosmic evolution acquires
the pattern of a superfluid motion: the absence of "friction-type" interaction,
the London-type wave function, and the Bogoliubov condensation of quantum
universes. This identification keeps the number of variables of GR and leads to
a new type of potential perturbations. A set of arguments is given in favor of
that this "superfluid" version of GR is in agreement with the observational
data.Comment: 8 pages, "Long Communication" at the XXVIII Spanish Relativity
Meeting "A Century of Relativity Physics" Oviedo, Spain, 6-10 Sept. 2005;
http://fisi24.ciencias.uniovi.es/ere05.html; To be published in "AIP
Conference Proceedings
Yang-Mills Fields Quantization in the Factor Space
The perturbation theory over inverse interaction constant is
constructed for Yang-Mills theory. It is shown that the new perturbation theory
is free from the gauge ghosts and Gribov's ambiguities, each order over
presents the gauge-invariant quantity. It is remarkable that offered
perturbation theory did not contain divergences, at least in the vector fields
sector, and no renormalization procedure is necessary for it.Comment: 27 pages, Latex, no figure
Is it possible to estimate the Higgs Mass from the CMB Power Spectrum?
General Relativity and Standard Model are considered as a theory of dynamical
scale symmetry with definite initial data compatible with the accepted Higgs
mechanism. In this theory the Early Universe behaves like a factory of
electroweak bosons and Higgs scalars, and it gives a possibility to identify
three peaks in the Cosmic Microwave Background power spectrum with the
contributions of photonic decays and annihilation processes of primordial
Higgs, W, and Z bosons in agreement with the QED coupling constant, Weinberg's
angle, and Higgs' particle mass of about 118 GeV.Comment: version to appear in Yadernaya Fizik
Infinite planar string: cusps, braids and soliton exitations
We investigate infinite strings in space-time, which may be
considered as excitations of straight lines on the spatial plane. We also
propose the hamiltonian description of such objects that differs from the
standard hamiltonian description of the string. The hamiltonian variables are
separated into two independent groups: the "internal" and "external" variables.
The first ones are invariant under space-time transformations and are connected
with the second form of the world-sheet. The "external" variables define the
embedding of the world-sheet into space-time. The constructed phase space is
nontrivial because the finite number of constraints entangles the variables
from these groups. First group of the variables constitute the coefficients for
the pair of first-order spectral problems; the solution of these problems is
necessary for the reconstruction of the string world-sheet. We consider the
excitations, which correspond to "N- soliton" solution of the spectral problem,
and demonstrate that the reconstructed string has cuspidal points. World lines
of such points form braids of various topologies.Comment: 16 pages, 4 figure
New analytic unitarization schemes
We consider two well-known classes of unitarization of Born amplitudes of
hadron elastic scattering. The standard class, which saturates at the black
disk limit includes the standard eikonal representation, while the other class,
which goes beyond the black-disk limit to reach the full unitarity circle,
includes the U matrix. It is shown that the basic properties of these schemes
are independent of the functional form used for the unitarisation, and that U
matrix and eikonal schemes can be extended to have similar properties. A common
form of unitarisation is proposed interpolating between both classes. The
correspondence with different nonlinear equations are also briefly examined.Comment: 6 pages, 10 figures, corrected typos, 1 fig. redro
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