A power counting theorem for Feynman integrals on the lattice
T. Reisz. Communications in Mathematical Physics, 116 (1):
81--126(1988)
Abstract
A convergence theorem is proved, which states sufficient conditions for the existence of the continuum limit for a wide class of Feynman integrals on a space-time lattice. A new kind of a UV-divergence degree is introcduced, which allows the formulation of the theorem in terms of power counting conditions.
ER -
%0 Journal Article
%1 Reisz1988pc
%A Reisz, Thomas
%D 1988
%J Communications in Mathematical Physics
%K FeynmanDiagrams Lattice LatticePerturbationTheory Renormalisation
%N 1
%P 81--126
%T A power counting theorem for Feynman integrals on the lattice
%U http://dx.doi.org/10.1007/BF01239027
%V 116
%X A convergence theorem is proved, which states sufficient conditions for the existence of the continuum limit for a wide class of Feynman integrals on a space-time lattice. A new kind of a UV-divergence degree is introcduced, which allows the formulation of the theorem in terms of power counting conditions.
ER -
@article{Reisz1988pc,
abstract = {A convergence theorem is proved, which states sufficient conditions for the existence of the continuum limit for a wide class of Feynman integrals on a space-time lattice. A new kind of a UV-divergence degree is introcduced, which allows the formulation of the theorem in terms of power counting conditions.
ER -},
added-at = {2009-04-23T23:30:20.000+0200},
author = {Reisz, Thomas},
biburl = {https://www.bibsonomy.org/bibtex/27f837146f8c7a7f46472bee43e8201e0/gber},
description = {SpringerLink - Zeitschriftenbeitrag},
interhash = {cbc1b303faf5cabbf0641d9aad2c4cb1},
intrahash = {7f837146f8c7a7f46472bee43e8201e0},
journal = {Communications in Mathematical Physics},
keywords = {FeynmanDiagrams Lattice LatticePerturbationTheory Renormalisation},
number = 1,
pages = {81--126},
timestamp = {2009-04-23T23:30:20.000+0200},
title = {A power counting theorem for Feynman integrals on the lattice},
url = {http://dx.doi.org/10.1007/BF01239027},
volume = 116,
year = 1988
}