  The physics of quasi one-dimensional Peierls systems is dominated by order
parameter fluctuations. We present an algorithm which allows for the first time
to exactly calculate physical properties of the electrons gas coupled to
classical order parameter fluctuations. The whole range from the Gaussian
regime dominated by amplitude fluctuations to the non-Gaussian regime dominated
by phase fluctuations is accessible. Our results provide insight into the
'pseudogap' phenomenon occurring in underdoped high-temperature
superconductors, quasi one-dimensional organic conductors and liquid metals.
