Confinement on R3 × S1: Continuum and lattice

DOI10.1142/S0217751X14450031zbMath1301.81309arXiv1410.1860OpenAlexW2952156529MaRDI QIDQ2932746

Michael C. Ogilvie

Publication date: 9 December 2014

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

Full work available at URL: https://arxiv.org/abs/1410.1860

zbMATH Keywords

phase transitionsmonopolesgauge theoriesquark confinement

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Strong interaction, including quantum chromodynamics (81V05) Quantum field theory on lattices (81T25) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Cites Work

• The \(\mathrm{SU}(3)/\mathbb Z_3\) QCD(adj) deconfinement transition via the gauge theory/``affine XY-model duality.
• 2d affine XY-spin model/4d gauge theory duality and deconfinement
• Numerical study of the two color attoworld
• Centre symmetric 3d effective actions for thermal SU(N) Yang-Mills from strong coupling series
• Exact T-duality between calorons and Taub-NUT spaces
• Resurgence theory, ghost-instantons, and analytic continuation of path integrals
• Exceptional confinement in G(2) gauge theory
• Periodic instantons with non-trivial holonomy
• Gluino condensate and magnetic monopoles in supersymmetric gluodynamics
• The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects
• Monopole determinant in Yang-Mills theory at finite temperature
• QCD with chemical potential in a small hyperspherical box
• Weak coupling large-\(N\) transitions at finite baryon density
• Monopoles, affine algebras and the gluino condensate

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