Non-Commutative Renormalization
V. Rivasseau, F. Vignes-Tourneret
TL;DR
This paper reviews Grosse and Wulkenhaar's approach to perturbative renormalization in non-commutative field theory and proposes a related constructive method.
Contribution
It introduces a constructive program inspired by recent renormalization techniques in non-commutative quantum field theory.
Findings
Review of Grosse and Wulkenhaar's renormalization approach
Proposal of a new constructive program
Insights into non-commutative field theory renormalization
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 65th birthday.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Black Holes and Theoretical Physics · Advanced Operator Algebra Research