  We study the spectral function of the pseudogap phase of quasi
one-dimensional charge density wave materials. Using a stochastic approach and
emphasizing an exact treatment of non-Gaussian order parameter fluctuations we
will go beyond a usual perturbative calculation. Our results give a good fit to
ARPES data and explain the absence of the Fermi edge in charge density wave
materials even above the Peierls transition, indicating non-Fermi liquid
behavior.
