Tachyonic instabilities in 2 + 1 dimensional Yang–Mills theory and its connection to number theory

DOI10.1088/1751-8121/aa7346zbMath1370.81112arXiv1610.07972OpenAlexW2541407259MaRDI QIDQ5348325

Fernando Chamizo, Antonio González-Arroyo

Publication date: 15 August 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.07972

zbMATH Keywords

Diophantine approximationtwisted boundary conditionsflux through toruslarge \(N\) gauge theoriesvolume independence

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Yang-Mills and other gauge theories in quantum field theory (81T13) Spinor and twistor methods applied to problems in quantum theory (81R25) Approximation to algebraic numbers (11J68)

Related Items (7)

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 ⋮ Constructing \(\mathrm{SU}(N)\) fractional instantons ⋮ 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

Cites Work

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• A precise calculation of the fundamental string tension in \(\mathrm{SU}(N)\) gauge theories in \(2+1\) dimensions
• Some results for SU(N) gauge-fields on the hypertorus
• Large N reduction with the twisted Eguchi-Kawai model
• An improvement to Zaremba's conjecture
• Volume independence for Yang–Mills fields on the twisted torus
• Aspects of Quark Confinement
• From Apollonius to Zaremba: Local-global phenomena in thin orbits
• On Zaremba's conjecture

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