180 Inflationary cosmology and creation of matter in the universe
Figure 4.7.Schematic representation of different regimes which are possible in the theory
1
2 m
(^2) φ (^2) +^1
4 λφ
(^4) +^1
2 g
(^2) φ (^2) χ (^2) form/√λ 10 − (^1) MPand for various relations between
g^2 andλin an expanding universe. The theory developed in this chapter describes the
resonance in the white area above the line=m/
√
λ. The theory of pre-heating for
<m/
√
λis given in [16]. A complete decay of the inflaton is possible only if additional
interactions are present in the theory which allow one inflaton particle to decay to several
other particles, for example, an interaction with fermionsψψφ ̄.
Figure 4.8.Schematic representation of different regimes which are possible in the theory
−^12 m^2 φ^2 +^14 λφ^4 +^12 g^2 φ^2 χ^2. White regions correspond to the regime of a regular stable
resonance, a small dark region in the left-hand corner near the origin corresponds to the
perturbative decayφ→χχ. Unless additional interactions are included (see figure 4.7), a
complete decay of the inflaton field is possible only in this small area.
stochastic is
<
g
√
λ
π^2 m^2
3 λMP