A model of inhomogeneous baryogenesis based on the Affleck and Dine mechanism
is described. A simple coupling of the scalar baryon field to the inflaton
allows for formation of astronomically significant bubbles with a large baryon
(or antibaryon) asymmetry. During the farther evolution these domains form
compact stellar-like objects, or lower density clouds, or primordial black
holes of different size. According to the scenario, such high baryonic number
objects occupy relatively small fraction of space but despite that they may
significantly contribute to the cosmological mass density. For some values of
parameters the model allows the possibility the whole dark matter in the
universe to be baryonic. Furthermore, the model allows the existence of the
antibaryonic B-bubbles, i.e. a significant fraction of the mass density in the
universe can be in the form of the compact antimatter objects (e.g.
anti-stars).Comment: 31 pages, 5 figures, three references are adde
We study the non-equilibrium dynamics of a system of coupled scalar fields in a Friedmann-Robertson-Walker (FRW) universe. We consider the evolution of spatially homogeneous "classical" fields and of their quantum fluctuations including the quantum backreaction in the one-loop approximation. We discuss in particular the dimensional regularisation of the coupled system and a special subtraction procedure in order to obtain the renormalised equations of motion and the renormalised energy-momentum tensor and ensure that the energy is well-defined and covariantly conserved. These results represent at the same time a theoretical analysis and a viable scheme for stable numerical simulations. As an example for an application of the general formalism, we present simulations for a hybrid inflationary model.
We compute bounce solutions describing false vacuum decay in a Φ 4 model in two dimensions in the Hartree approximation, thus going beyond the usual one-loop corrections to the decay rate. We use zero energy mode functions of the fluctuation operator for the numerical computation of the functional determinant and the Green's function. We thus avoid the necessity of discretizing the spectrum, as it is necessary when one uses numerical techniques based on eigenfunctions. Regularization is performed in analogy of standard perturbation theory; the renormalization of the Hartree approximation is based on the two-particle point-irreducible (2PPI) scheme. The iteration towards the self-consistent solution is found to converge for some range of the parameters. Within this range we find the corrections to the leading one-loop approximation to be relatively small, not exceeding one order of magnitude in the total transition rate.
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