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- W2163671129 abstract "The scaling and mass expansion (shortly 'sm-expansion') is a new axiom for causal perturbation theory, which is a stronger version of a frequently used renormalization condition in terms of Steinmann's scaling degree. If one quantizes the underlying free theory by using a Hadamard function (which is smooth in $mgeq 0$), one can reduce renormalization of a massive model to the extension of a minimal set of mass-independent, almost homogeneously scaling distributions by a Taylor expansion in the mass $m$. The sm-expansion is a generalization of this Taylor expansion, which yields this crucial simplification of the renormalization of massive models also for the case that one quantizes with the Wightman two-point function, which contains a $log(-(m^2(x^2-ix^0 0))$-term. We construct the general solution of the new system of axioms (i.e. the usual axioms of causal perturbation theory completed by the sm-expansion), and illustrate the method for a divergent diagram which contains a divergent subdiagram." @default.
- W2163671129 created "2016-06-24" @default.
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- W2163671129 date "2014-03-25" @default.
- W2163671129 modified "2023-10-06" @default.
- W2163671129 title "The Scaling and Mass Expansion" @default.
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- W2163671129 doi "https://doi.org/10.1007/s00023-014-0324-6" @default.
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