Monopoles, Polyakov loops, and gauge fixing on the torus

DOI10.1006/aphy.1998.5841zbMath0927.58024arXivhep-th/9802191OpenAlexW3099349256MaRDI QIDQ1290408

K. Appert

Publication date: 20 July 1999

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9802191

zbMATH Keywords

Yang-Mills theoryPolyakov loopgauge fixing4-torus

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Strong interaction, including quantum chromodynamics (81V05) Applications of global analysis to the sciences (58Z05)

Related Items

Constituent monopoles through the eyes of fermion zero-modes, A ring of instantons inducing a monopole loop., The nonperturbative functional renormalization group and its applications, Aspects of the functional renormalisation group, \(\text{SU}(N)\)-gauge theories in Polyakov gauge on the torus, Instantons and Gribov copies in the maximally abelian gauge, The infrared behaviour of QCD Green's functions. Confinement, dynamical symmetry breaking, and hadrons as relativistic bound states, Abelian projection on the torus for general gauge groups, Magnetic monopoles vs. Hopf defects in the Laplacian (Abelian) gauge, Abelian and center gauge fixing in continuum Yang-Mills theory for general gauge groups, ADHM construction of instantons on the torus

Cites Work

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• Construction of instantons
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• Some results for SU(N) gauge-fields on the hypertorus
• Quantised singularities in the electromagnetic field,
• Instanton moduli for \(T^3\times{\mathbb{R}}\)