Convergence Theorem for Non-commutative Feynman Graphs and Renormalization
High Energy Physics - Theory
2014-11-18 v2
Abstract
We present a rigorous proof of the convergence theorem for the Feynman graphs in arbitrary massive Euclidean quantum field theories on non-commutative R^d (NQFT). We give a detailed classification of divergent graphs in some massive NQFT and demonstrate the renormalizability of some of these theories.
Cite
@article{arxiv.hep-th/0008090,
title = {Convergence Theorem for Non-commutative Feynman Graphs and Renormalization},
author = {Iouri Chepelev and Radu Roiban},
journal= {arXiv preprint arXiv:hep-th/0008090},
year = {2014}
}
Comments
Latex, 71 pages, many postscript figures; v2: Comments on massless case added/corrected in sec.8, refs. added