Simulations of the end of supersymmetric hybrid inflation and nontopological soliton formation

We present two- and three-dimensional simulations of the growth of quantum fluctuations of the scalar fields in supersymmetric hybrid inflation models. For a natural range of couplings, subhorizon quantum fluctuations undergo rapid growth due to scalar field dynamics, resulting in the formation of quasistable nontopological solitons (inflaton condensate lumps) which dominate the postinflation era.

Figure 1

2D growth of energy density perturbations for $\lambda =0.14$ and $g=1$ on a $200\times 200$ lattice. Black areas correspond to $\rho >4\overline{\rho }$.

Figure 2

Coherent oscillations of an energy density lump.

Figure 3

${50}^3$ lattice 3D simulation. The plot shows regions of energy $\rho >4\overline{\rho }$ at $t=5{\tau }_S$.