Titlebook: Quantum Field Theory; A Selection of Paper Arthur Jaffe,Harry Lehmann,Gerhard Mack Book 1985 Springer-Verlag Berlin, Heidelberg 1985 Confin

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On the Modular Structure of Local Algebras of Observables,iant theory this leads to an identification of the spectra of all modular operators with ℝ.. So in this case the local algebras are algebras of type III, and only factors of type III. can occur in a central decomposition.

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Reduction in the Number of Coupling Parameters,g parameter. The original as well as the reduced system are supposed to be renormalizable and invariant under the renormalization group. For most models there are, if any, only a finite number of reductions possible including those which correspond to symmetries of the system. The reduction method l

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Renormalization of the Higgs Model: Minimizers, Propagators and the Stability of Mean Field Theory,ns. We identify a quadratic approximation .. to .. which we call mean field theory, and which will serve as the starting point for a convergent expansion of the Green’s functions, uniformly in the lattice spacing. Here we show how the approximations .. arise and how to handle gauge fixing, necessary

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