Non-commutative renormalization

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Abstract

We review the recent approach of Grosse and Wulkenhaar to the perturbative renormalization of non-commutative field theory and suggest a related constructive program. This paper is dedicated to J. Bros on his 70th birthday.

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Rivasseau, V., & Vignes-Tourneret, F. (2007). Non-commutative renormalization. In Progress in Mathematics (Vol. 251, pp. 271–281). Springer Basel. https://doi.org/10.1007/978-3-7643-7434-1_19

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