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The physics of quasi one-dimensional Peierls systems is dominated by orderparameter fluctuations. We present an algorithm which allows for the first timeto exactly calculate physical properties of the electrons gas coupled toclassical order parameter fluctuations. The whole range from the Gaussianregime dominated by amplitude fluctuations to the non-Gaussian regime dominatedby phase fluctuations is accessible. Our results provide insight into the'pseudogap' phenomenon occurring in underdoped high-temperaturesuperconductors, quasi one-dimensional organic conductors and liquid metals.Comment: 4 pages, 4 figures, accepted for publication in Physical Review  Letter

Exact Results for the Crossover from Gaussian to Non-Gaussian Order Parameter Fluctuations in Quasi-One-Dimensional Electronic Systems