Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-05-19
Phys.Rev.D56:6175-6192,1997
Physics
High Energy Physics
High Energy Physics - Phenomenology
19 pages, revtex, 12 figures
Scientific paper
10.1103/PhysRevD.56.6175
We consider preheating in the theory $1/4 \lambda \phi^4 + 1/2 g^2\phi^2\chi^2 $, where the classical oscillating inflaton field $\phi$ decays into $\chi$-particles and $\phi$-particles. The parametric resonance which leads to particle production in this conformally invariant theory is described by the Lame equation. It significantly differs from the resonance in the theory with a quadratic potential. The structure of the resonance depends in a rather nontrivial way on the parameter $g^2/\lambda$. We construct the stability/instability chart in this theory for arbitrary $g^2/\lambda$. We give simple analytic solutions describing the resonance in the limiting cases $g^2/\lambda\ll 1$ and $g^2/\lambda \gg 1$, and in the theory with $g^2=3\lambda$, and with $g^2 =\lambda$. From the point of view of parametric resonance for $\chi$, the theories with $g^2=3\lambda$ and with $g^2 =\lambda$ have the same structure, respectively, as the theory $1/4 \lambda \phi^4$, and the theory $\lambda /(4 N) (\phi^2_i)^2$ of an N-component scalar field $\phi_i$ in the limit $N \to \infty$. We show that in some of the conformally invariant theories such as the simplest model $1/4 \lambda\phi^4$, the resonance can be terminated by the backreaction of produced particles long before $<\chi^2>$ or $<\phi^2 >$ become of the order $\phi^2$. We analyze the changes in the theory of reheating in this model which appear if the inflaton field has a small mass.
Greene Patrick
Kofman Lev
Linde Andrei
Starobinsky Alexei
No associations
LandOfFree
Structure of Resonance in Preheating after Inflation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Structure of Resonance in Preheating after Inflation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Structure of Resonance in Preheating after Inflation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-530438