85,317 research outputs found
Bosonic Preheating in Left-Right-Symmetric SUSY GUTs
We investigate the possibility of a bosonic preheating in the simplest model
of supersymmetric Hybridinflation (F-term inflation), which was considered
first by Dvali et al. Here the inflationary superpotential is of the
O'Raifertaigh-Witten type. The end of inflation is related to a non-thermal
phase transition, which in the context of left-right symmetric models lowers
the rank of the gauge group. Using the homogeneous classical field ansatz for
the appearing condensates, our results indicate that the parametric creation of
bosonic particles does not occure in the model under consideration.Comment: 14 pages, 6 figure
A Lattice Gauge Model of Singular Marsden-Weinstein Reduction. Part I. Kinematics
The simplest nontrivial toy model of a classical SU(3) lattice gauge theory
is studied in the Hamiltonian approach. By means of singular symplectic
reduction, the reduced phase space is constructed. Two equivalent descriptions
of this space in terms of a symplectic covering as well as in terms of
invariants are derived.Comment: 27 pages, 6 figure
Period preserving nonisospectral flows and the moduli space of periodic solutions of soliton equations
Flows on the moduli space of the algebraic Riemann surfaces, preserving the
periods of the corresponding solutions of the soliton equations are studied. We
show that these flows are gradient with respect to some indefinite symmetric
flat metric arising in the Hamiltonian theory of the Whitham equations. The
functions generating these flows are conserved quantities for all the equations
simultaneously. We show that for 1+1 systems these flows can be imbedded in a
larger system of ordinary nonlinear differential equations with a rational
right-hand side. Finally these flows are used to give a complete description of
the moduli space of algebraic Riemann surfaces corresponding to periodic
solutions of the nonlinear Schr\"odinger equation.Comment: 35 pages, LaTex. Macros file elsart.sty is used (it was submitted by
the authors to [email protected] library macroses),e-mail:
[email protected], e-mail:[email protected]
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