FUNCTIONAL RENORMALIZATION OF NONCOMMUTATIVE SCALAR FIELD THEORY

DOI10.1142/S0217751X11054048zbMath1247.81311arXiv1006.5145MaRDI QIDQ2919083

Alessandro Sfondrini, Tim A. Koslowski

Publication date: 2 October 2012

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

Full work available at URL: https://arxiv.org/abs/1006.5145

zbMATH Keywords

noncommutative field theoryGrosse-Wulkenhaar modelfunctional renormalization

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Model quantum field theories (81T10) Noncommutative geometry methods in quantum field theory (81T75) Renormalization group methods applied to problems in quantum field theory (81T17)

Related Items (4)

The phase diagram of the multi-matrix model with \textit{ABAB} interaction from functional renormalization ⋮ The nonperturbative functional renormalization group and its applications ⋮ On multimatrix models motivated by random noncommutative geometry. I: The functional renormalization group as a flow in the free algebra ⋮ The fate of the Wilson-Fisher fixed point in non-commutative ϕ4

Cites Work

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• The asymptotic safety scenario in quantum gravity
• Renormalization of non-commutative \(\Phi^4_4\) field theory in \(x\) space
• Investigating the ultraviolet properties of gravity with a Wilsonian renormalization group equation
• Non-perturbative renormalization flow in quantum field theory and statistical physics
• Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base
• Power-counting theorem for non-local matrix models and renormalisation
• Algebras of distributions suitable for phase-space quantum mechanics. I
• Noncommutative field theory
• Duality in scalar field theory on noncommutative phase spaces

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