Abstract
We study the dynamics of a classical scalar field that rolls down a linear
potential as it interacts bi-quadratically with a quantum field. We explicitly
solve the dynamical problem by using the classical-quantum correspondence
(CQC). Rolling solutions on the effective potential are shown to compare very
poorly with the full solution. Spatially homogeneous initial conditions
maintain their homogeneity and small inhomogeneities in the initial conditions
do not grow.
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