Matrix model approximations of fuzzy scalar field theories and their phase diagrams

DOI10.1007/JHEP12(2015)176zbMath1388.81225arXiv1510.07496MaRDI QIDQ2636355

Juraj Tekel

Publication date: 31 May 2018

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

Full work available at URL: https://arxiv.org/abs/1510.07496

zbMATH Keywords

non-commutative geometrymatrix modelsfield theories in lower dimensions

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Methods of noncommutative geometry in general relativity (83C65)

Related Items (4)

Triple point of a scalar field theory on a fuzzy sphere ⋮ String states, loops and effective actions in noncommutative field theory and matrix models ⋮ On the quantum structure of space-time, gravity, and higher spin in matrix models ⋮ Detecting scaling in phase transitions on the truncated Heisenberg algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Probing the fuzzy sphere regularisation in simulations of the 3d \(\lambda\phi^4\) model
• The multitrace matrix model of scalar field theory on fuzzy \(\mathbb {C}P^n\)
• A translation-invariant renormalizable non-commutative scalar model
• Fuzzy scalar field theory as a multitrace matrix model.
• String theory and noncommutative geometry
• Phase transitions for \(\phi_2^4\) quantum fields
• Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base
• Planar diagrams
• The quantum structure of spacetime of the Planck scale and quantum fields
• The multitrace matrix model: an alternative to Connes NCG and IKKT model in 2 dimensions
• Phases of the goldstone multitrace matrix model in the large-\(n\)-limit
• Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere
• SIMULATION OF A SCALAR FIELD ON A FUZZY SPHERE
• NONCOMMUTATIVE FIELD THEORY: NUMERICAL ANALYSIS WITH THE FUZZY DISK
• Quantized Space-Time
• Noncommutative field theory
• Quantum field theory on noncommutative spaces
• Noncommutative perturbative dynamics
• Phase structure of non-commutative scalar field theories

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