Convergence Theorem for Non-commutative Feynman Graphs and Renormalization

Details Convergence Theorem for Non-commutative Feynman Graphs and Renormalization Convergence Theorem for Non-commutative Feynman Graphs and Renormalization

2000-08-11

arxiv.org/abs/hep-th/0008090v2

JHEP 0103 (2001) 001

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 71 pages, many postscript figures; v2: Comments on massless case added/corrected in sec.8, refs. added

Scientific paper

10.1088/1126-6708/2001/03/001

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.

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