
It is demonstrated that the thermal structure of the noncritical free Bose Gas is completely described by certain periodic generalized Gaussian stochastic process or equivalently by certain periodic generalized Gaussian random field. Elementary properties of this Gaussian stochastic thermal structure have been established. Gentle perturbations of several types of the free thermal stochastic structure are studied. In particular new models of non-Gaussian thermal structures have been constructed and a new functional integral representation of the corresponding euclidean-time Green functions have been obtained rigorously.
51 pages, LaTeX file
periodic generalized stochastic process, multitime Green functions, Condensed Matter (cond-mat), FOS: Physical sciences, Random fields, Quantum equilibrium statistical mechanics (general), Condensed Matter, gentle perturbations, free Bose gas, \(W^ *\)-KMS structure
periodic generalized stochastic process, multitime Green functions, Condensed Matter (cond-mat), FOS: Physical sciences, Random fields, Quantum equilibrium statistical mechanics (general), Condensed Matter, gentle perturbations, free Bose gas, \(W^ *\)-KMS structure
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