Mathematical renormalization of Hamiltonian field theories
General Physics
2015-06-19 v3
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 -matrix and Green functions of perturbative quantum field theory.
Keywords
Cite
@article{arxiv.1503.03000,
title = {Mathematical renormalization of Hamiltonian field theories},
author = {A. V. Stoyanovsky},
journal= {arXiv preprint arXiv:1503.03000},
year = {2015}
}
Comments
This paper has been withdrawn by the author because the renormalization constructed in it is not compatible with renormalization in perturbative quantum field theory. Main Theorem of \S5 is not true