Convergence theorem for non-commutative Feynman graphs and renormalization

By I. Chepelev, R. Roiban. 2000

135 citations recorded by the source corpus.

We present a rigorous proof of the convergence theorem for the Feynman graphs in arbitrary massive euclidean quantum field theories on non-commutative d (NQFT). We give a detailed classification of divergent graphs in some massive NQFT and demonstrate the renormalizability of some of these theories.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/cad0e02ec3eab940d46a3a58cf302c8fabf475bd