Large N reduction with the twisted Eguchi-Kawai model

DOI10.1007/JHEP07(2010)043zbMath1290.81119arXiv1005.1981OpenAlexW2063780718MaRDI QIDQ2016726

Antonio González-Arroyo, Masanori Okawa

Publication date: 20 June 2014

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

Full work available at URL: https://arxiv.org/abs/1005.1981

zbMATH Keywords

1/N expansionmatrix modelslattice gauge field theories

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantum field theory on lattices (81T25) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Symmetry breaking in quantum theory (81R40) Spinor and twistor methods applied to problems in quantum theory (81R25) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (24)

A comparison of updating algorithms for large \(N\) reduced models ⋮ Bose-Fermi degeneracies in large \(N\) adjoint QCD ⋮ Volume independence for Yang–Mills fields on the twisted torus ⋮ The two-dimensional twisted reduced principal chiral model revisited ⋮ The spectrum of 2+1 dimensional Yang-Mills theory on a twisted spatial torus ⋮ The twisted gradient flow coupling at one loop ⋮ Tachyonic instabilities in 2  +  1 dimensional Yang–Mills theory and its connection to number theory ⋮ Constructing \(\mathrm{SU}(N)\) fractional instantons ⋮ Polyakov model in 't Hooft flux background: a quantum mechanical reduction with memory ⋮ Modified instanton sum in QCD and higher-groups ⋮ Emergent gravity from Eguchi-Kawai reduction ⋮ From 4d Yang-Mills to 2d \(\mathbb{C} {\mathbb{P}}^{N-1}\) model: IR problem and confinement at weak coupling ⋮ The dynamics of zero modes in lattice gauge theory -- difference between SU(2) and SU(3) in 4D ⋮ The large-\(N\) limit of the chiral condensate from twisted reduced models ⋮ \(\mathrm{SU}(N)\) fractional instantons and the Fibonacci sequence ⋮ Perturbative contributions to Wilson loops in twisted lattice boxes and reduced models ⋮ Large-\(N\) volume independence in conformal and confining gauge theories ⋮ Quantum field theory on noncommutative spaces ⋮ Quantum distillation of Hilbert spaces, semi-classics and anomaly matching ⋮ Rectangular Wilson loops at large \(N\) ⋮ Numerical stochastic perturbation theory applied to the twisted Eguchi-Kawai model ⋮ Strongly coupled QFT dynamics via TQFT coupling ⋮ Graded Hilbert spaces, quantum distillation and connecting SQCD to QCD ⋮ Scale setting for large-\(N\) SUSY Yang-Mills on the lattice

Cites Work

• Infinite \(N\) phase transitions in continuum Wilson loop operators
• Symmetry breaking in twisted Eeguchi-Kawai models
• Surviving extrema for the action on the twisted \(\text{SU}(\infty)\) one point lattice
• Finite \(N\) Matrix models of noncommutative gauge theory
• Noncommutative field theory
• Lattice gauge fields and discrete non-commutative Yang-Mills theory
• Nonperturbative dynamics of noncommutative gauge theory

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