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RENORMALIZATION OF A NONCOMMUTATIVE FIELD THEORY

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Publication:2919228
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DOI10.1142/S0217751X12500674zbMath1247.81528MaRDI QIDQ2919228

Harald Grosse, Raimar Wulkenhaar

Publication date: 2 October 2012

Published in: International Journal of Modern Physics A (Search for Journal in Brave)


zbMATH Keywords

renormalizationWard identitySchwinger-Dyson equationnoncommutative quantum fields


Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Constructive quantum field theory (81T08) Noncommutative geometry methods in quantum field theory (81T75)




Cites Work

  • Two- and three-loop beta function of non-commutative \(\Phi_4^4\) theory
  • Vanishing of beta function of non-commutative \(\Phi_4^4\) theory to all orders
  • Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base
  • Power-counting theorem for non-local matrix models and renormalisation
  • Renormalisation of \(\Phi^4\)-theory on non-commutative \(\mathbb R^4\) to all orders
  • Duality in scalar field theory on noncommutative phase spaces


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