Fuzzy scalar field theory as matrix quantum mechanics

DOI10.1007/JHEP03(2011)091zbMath1301.81272arXiv1012.3568MaRDI QIDQ475927

Matthias Ihl, Christian Sämann, Christoph Sachse

Publication date: 27 November 2014

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.3568

zbMATH Keywords

non-commutative geometrymatrix modelsfield theories in lower dimensions

Mathematics Subject Classification ID

Model quantum field theories (81T10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Noncommutative geometry methods in quantum field theory (81T75)

Related Items (2)

The phase diagram of scalar field theory on the fuzzy disc ⋮ Second moment fuzzy-field-theory-like matrix models

Cites Work

• General concept of quantization
• Generalized Berezin quantization, Bergman metrics and fuzzy Laplacians
• Probing the fuzzy sphere regularisation in simulations of the 3d \(\lambda\phi^4\) model
• The multitrace matrix model of scalar field theory on fuzzy \(\mathbb {C}P^n\)
• Fuzzy scalar field theory as a multitrace matrix model.
• Planar diagrams
• Finite quantum field theory in noncommutative geometry
• Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere
• CRITICAL BEHAVIOR IN c=1 MATRIX MODEL WITH BRANCHING INTERACTIONS
• SIMULATION OF A SCALAR FIELD ON A FUZZY SPHERE
• The fuzzy sphere

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