Fine Tuning May Not Be Enough
  We argue that the fine tuning problems of scalar-driven inflation may be
worse than is commonly believed. The reason is that reheating requires the
inflaton to be coupled to other matter fields whose vacuum fluctuations alter
the inflaton potential. The usual response has been that even more fine-tuning
of the classical potential $V(\varphi)$ can repair any damage done in this way.
We point out that the effective potential in de Sitter background actually
depends in a complicated way upon the dimensionless combination of $\varphi/H$.
We also show that the factors of $H$ which occur in de Sitter do not even
correspond to local functionals of the metric for general geometries, nor are
they Planck-suppressed.
