392 research outputs found
Towards unified theory of gravity
We introduce a new 1-matrix model with arbitrary potential and the
matrix-valued background field. Its partition function is a -function of
KP-hierarchy, subjected to a kind of -constraint. Moreover,
partition function behaves smoothly in the limit of infinitely large matrices.
If the potential is equal to , this partition function becomes a
-function of -reduced KP-hierarchy, obeying a set of -algebra constraints identical to those conjectured in \cite{FKN91} for
double-scaling continuum limit of -matrix model. In the case of
the statement reduces to the early established \cite{MMM91b} relation between
Kontsevich model and the ordinary quantum gravity . Kontsevich model with
generic potential may be considered as interpolation between all the models of
quantum gravity with preserving the property of integrability and
the analogue of string equation.Comment: 67 pages (October 1991
An hbar-expansion of the Toda hierarchy: a recursive construction of solutions
A construction of general solutions of the \hbar-dependent Toda hierarchy is
presented. The construction is based on a Riemann-Hilbert problem for the pairs
(L,M) and (\bar L,\bar M) of Lax and Orlov-Schulman operators. This
Riemann-Hilbert problem is translated to the language of the dressing operators
W and \bar W. The dressing operators are set in an exponential form as W =
e^{X/\hbar} and \bar W = e^{\phi/\hbar}e^{\bar X/\hbar}, and the auxiliary
operators X,\bar X and the function \phi are assumed to have \hbar-expansions X
= X_0 + \hbar X_1 + ..., \bar X = \bar X_0 + \hbar\bar X_1 + ... and \phi =
\phi_0 + \hbar\phi_1 + .... The coefficients of these expansions turn out to
satisfy a set of recursion relations. X,\bar X and \phi are recursively
determined by these relations. Moreover, the associated wave functions are
shown to have the WKB form \Psi = e^{S/\hbar} and \bar\Psi = e^{\bar S/\hbar},
which leads to an \hbar-expansion of the logarithm of the tau function.Comment: 37 pages, no figures. arXiv admin note: substantial text overlap with
arXiv:0912.486
Additional symmetries of constrained CKP and BKP hierarchies
The additional symmetries of the constrained CKP (cCKP) and BKP (cBKP)
hierarchies are given by their actions on the Lax operators, and their actions
on the eigenfunction and adjoint eigenfunction are
presented explicitly. Furthermore, we show that acting on the space of the wave
operator, forms new centerless and
-subalgebra of centerless respectively. In
order to define above symmetry flows of the cCKP and cBKP
hierarchies, two vital operators are introduced to revise the additional
symmetry flows of the CKP and BKP hierarchies.Comment: 14 pages, accepted by SCIENCE CHINA Mathematics(2010
Measurement of decay rate and parameters at KEDR
Using the inclusive photon spectrum based on a data sample collected at the
peak with the KEDR detector at the VEPP-4M collider, we
measured the rate of the radiative decay as well
as mass and width. Taking into account an asymmetric photon
lineshape we obtained keV, MeV/, MeV.Comment: 6 pages, 3 figure
К ВЫБОРУ ИСТОЧНИКА ТЕПЛОСНАБЖЕНИЯ МОБИЛЬНОГО СТРОИТЕЛЬНОГО СООРУЖЕНИЯ
The paper proposes a vortex heat generator with energy transformation of the highest state of matter motion into the lowest one as a heat supply source for a mobile object. Energy transformation coefficient indices close or equal to 1 have been obtained as a result of experiments on efficiency of the vortex heat generator. Such results can be explained with the help of the 2nd Bohr quantum postulate. Standard series of certified VTG heat generators has been proposed for heat supply of the mobile object (field hospital).В качестве источника теплоснабжения мобильного объекта предложенвихревой теплогенератор с преобразованием энергии высшей формы движения материи в низшую. В ходе опытов по определению эффективности вихревого теплогенератора были получены значения коэффициента преобразования энергии, близкие и равные единице. Такие результаты могут быть объяснены с помощью второго квантового постулата Бора. Для теплоснабжения мобильного объекта (полевого госпиталя) предложен типоряд сертифицированных теплогенераторов марки ВТГ
Measurement of J/psi to eta_c gamma at KEDR
We present a study of the inclusive photon spectra from 5.9 million J/psi
decays collected with the KEDR detector at the VEPP-4M e+e- collider. We
measure the branching fraction of radiative decay J/psi to eta_c gamma, eta_c
width and mass. Our preliminary results are: M(eta_c) = 2979.4+-1.5+-1.9 MeV,
G(eta_c) = 27.8+-5.1+-3.3 MeV, B(J/psi to eta_c gamma) = (2.34+-0.15+-0.40)%.Comment: To be published in Proceedings of the PhiPsi09, Oct. 13-16, 2009,
Beijing, Chin
Measurement of B(J/psi->eta_c gamma) at KEDR
We present a study of the inclusive photon spectrum from 6.3 million J/psi
decays collected with the KEDR detector at the VEPP-4M e+e- collider. We
measure the branching fraction of the radiative decay J/psi -> eta_c gamma,
eta_c width and mass. Taking into account an asymmetric photon line shape we
obtain: M(eta_c) = (2978.1 +- 1.4 +- 2.0) MeV/c^2, Gamma(eta_c) = (43.5 +- 5.4
+- 15.8) MeV, B(J/psi->eta_c gamma) = (2.59 +- 0.16 +- 0.31)%$.Comment: 6 pages, 1 figure. To be published in the proceedings of the 4th
International Workshop on Charm Physics (Charm2010), October 21-24, 2010,
IHEP, Beijin
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