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- W2009177719 abstract "We present a rigorous, non-perturbative construction of a non-trivial euclidean π44 field theory with negative coupling constant, as a scaling limit of stable lattice theories. In the present paper the usual propagator is replaced by a hierarchical one for pedagogical reasons. The resulting model has similar renormalization problems as the standard π44 theory. Our non-perturbative construction has the standard renormalized perturbation expansion as an asymptotic expansion, and is asymptotically free. The analysis can be extended to the conventional model with the use of a rigorous block-spin formulation to yield a non-trivial continuum theory with similar properties, but possibly violating reflection positivity in a non-perturbative way." @default.
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- W2009177719 modified "2023-10-18" @default.
- W2009177719 title "Non-trivial continuum limit of a π44 model with negative coupling constant" @default.
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- W2009177719 doi "https://doi.org/10.1016/0550-3213(85)90359-1" @default.
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