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Titlebook: Probabilistic Methods in Quantum Field Theory and Quantum Gravity; P. H. Damgaard,H. Hüffel,A. Rosenblum Book 1990 Springer Science+Busine

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Geometric Continuum Regularization of Quantum Field Theorythe regularization is seen as entirely geometric: only the supermetric on field deformations is regularized, and the prescription provides universal non-perturbative invariant continuum regularization across all quantum field theory.
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Simulation of Staggered Fermions by Polymer Algorithmseory is only possible if the fermion determinant is positive. Examples where the fermion determinant is complex are, for instance: QCD with non-zero chemical potential or simple scalar-fermion models with chiral Yukawa-couplings etc. Under these circumtances the search for alternative, possibly local, fermion algorithms is well motivated.
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Some stochastic techniques in quantization, new developments in Markov fields and quantum fields been involved. We stress particularly developments involving techniques of stochastic analysis and where mathematical results have been obtained. By this we do not want at all to detract importance to more heuristic, physical approaches, on the contrary, we have been ourselves often inspired by suc
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Quantization = Geometry + Probabilitythe classical phase space. It is shown that the integral of a phase factor involving the classical action over a pinned Wiener measure leads, in the limit of diverging diffusion constant, to an intrinsic, coordinate-free characterization of the quantization process for various kinematical operator c
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