Renormalisation of non-commutative field theories
Vincent Rivasseau, Fabien Vignes-Tourneret
TL;DR
This paper reviews recent progress in establishing renormalisable quantum field theories on non-commutative spaces, highlighting key developments and current understanding in this emerging research area.
Contribution
It provides a comprehensive overview of the recent discovery and analysis of renormalisable non-commutative quantum field theories.
Findings
Identification of the first renormalisable non-commutative quantum field theories
Summary of techniques used for renormalisation in non-commutative spaces
Overview of ongoing challenges and future directions
Abstract
The first renormalisable quantum field theories on non-commutative space have been found recently. We review this rapidly growing subject.
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