SUSY Flat Direction Decay - the prospect of particle production and   preheating investigated in the unitary gauge
  We look at the possibility of non-perturbative particle production after inflation from SUSY flat directions produced by rotating eigenstates thereby avoiding the standard adiabaticity conditions. This might lead to preheating and prevent the delay of thermalisation of the universe. We investigate the flat directions $LLE^c$ and $U^cD^cD^c$ and find no particle production. These 2 directions are very important, since they have been named as possible candidates for being the inflaton. We investigate $QLQLQLE^c$ and find particle production and therefore the possibility of preheating. We investigate the $LLE^c$ and $U^cD^cD^c$ directions appearing simultaneously, and find no production. Finally, we investigate $LLE^c$ and $QLD^c$ simultaneously - with one L-field in common. Here we do find particle production and therefore the possibility of preheating. This means that if SUSY flat directions are to delay thermalisation and thus explain the (lack of) gravitino production, it is necessary to explain why complicated directions as $QLQLQLE^c$ are not exited, and why combinations like $LLE^c$ and $QLD^c$ are not both exited. 
Anders Basboll