Some rigorous results for Yang–Mills theories on a cylinder

DOI10.1063/1.531032zbMath0845.58018OpenAlexW2018812985MaRDI QIDQ4873495

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Publication date: 19 May 1996

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

Full work available at URL: https://doi.org/10.1063/1.531032

zbMATH Keywords

Yang-Mills theorycylindergroup of gauge transformationsspace of connections

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Moduli problems for differential geometric structures (58D27) Applications of manifolds of mappings to the sciences (58D30)

Related Items (5)

Constrained quantization and \(\theta \)-angles ⋮ SYMPLECTIC REDUCTION FOR YANG–MILLS ON A CYLINDER ⋮ Symmetry and gauge freedom ⋮ Constrained quantisation and \(\theta\)-angles. II. ⋮ Loop correlators and theta states in two-dimensional Yang-Mills theory

Cites Work

• A Poincaré lemma for connection forms
• Quantum Yang-Mills on a Riemann surface
• Geometry of SU(2) gauge fields
• On the bundle of connections and the gauge orbit manifold in Yang-Mills theory
• Some remarks on the Gribov ambiguity
• The Yang-Mills measure for \(S^ 2\)
• YM\(_ 2\): Continuum expectations, lattice convergence, and lassos
• Yang–Mills theory on a cylinder coupled to point particles

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