Mathematical renormalization of Hamiltonian field theories

A. V. Stoyanovsky

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arXiv · 1503.03000

Mathematical renormalization of Hamiltonian field theories

A. V. Stoyanovsky

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Abstract

We rigorously define renormalized evolution operator of the Schr\"odinger equation in the infinite dimensional Weyl-Moyal algebra for any time interval for arbitrary Hamiltonian depending on time. We state that for renormalizable field theories, in the interaction representation, and for the time interval being the full real axis, our construction yields standard renormalized $S$-matrix and Green functions of perturbative quantum field theory.

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A. V. Stoyanovsky. 2015-02-04. Mathematical renormalization of Hamiltonian field theories. https://arxiv.org/abs/1503.03000

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