Stability of Gaussian approximations in minisuperspace: A variational approach
Por:
Minzoni, AA, Rosenbaum, M, Ryan, MP
Publicada:
15 ago 1997
Resumen:
Stability results are obtained for some special cases of
finite-dimensional approximations in minisuperspace field theory, using
both rigorous methods, based an theorems of the Kolmogorov-Arnold-Moser
type, as well as perturbation theory. For a lambda phi(4) theory and a
lower-dimensional truncation of the Hamiltonian it is shown that the
evolution of coherent states in the homogeneous minisuperspace sector is
indeed stable for positive values of the parameters that define the
field theory. It is also shown that for more realistic field-theoretical
models, however, Arnold diffusion could have destabilizing effects over
very long times, The relevance of such a phenomenon requires
consideration of each case separately.
Filiaciones:
Minzoni, AA:
(Corresponding Author), UNIV NACL AUTONOMA MEXICO,FENOMEC,APARTADO POSTAL 20-726,MEXICO CITY 01000,DF,MEXICO
Green Submitted
|