Renormalization on NC torus

DANIELA D'ASCANIO; PABLO A. G. PISANI; DMITRI V. VASSILEVICH

Bonn

Workshop; Quantum Physics and Noncommutative Geometry; 2014

Universität Bonn

Presentación oral a cargo del Prof. D. V. VassilevichThe analysis of heat trace asymptotics on NC torus performed by Gayral, Iochum and D.V. (CMP 273 (2007) 415) shows that the heat kernel coefficients are obtained from their standard "commutative" expressions by exchanging the trace to a new one. The same rule is valid for one-loop counterterms. Here we check whether this also applies to higher order diagrams in phi-4 theory on NC 4-torus and discuss implications for renormalizability.