Singularly perturbed Chern–Simons theory

DOI10.1063/1.528634zbMath0726.58016OpenAlexW1980994017MaRDI QIDQ3350335

Charles Nash

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528634

zbMATH Keywords

singular perturbationcritical pointsgauge invarianceLagrangian functionYang-Millsthree-dimensional calculationsSU(2) groupsthree-dimensional Chern- Simons theory

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Moduli problems for differential geometric structures (58D27) Topological field theories in quantum mechanics (81T45) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Cites Work

• Instantons in two and four dimensions
• Quantum field theory and the Jones polynomial
• The partition function of degenerate quadratic functional and Ray-Singer invariants
• An instanton-invariant for 3-manifolds
• R-torsion and the Laplacian on Riemannian manifolds
• Geometry of hyperbolic monopoles