The general decomposition theory of SU(2) gauge potential, topological structure and bifurcation of SU(2) Chern density

DOI10.1063/1.532515zbMath0927.53027arXivhep-th/9910073OpenAlexW2093890514MaRDI QIDQ4701652

Li-Bin Fu, Yi-Shi Duan

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/hep-th/9910073

zbMATH Keywords

Brouwer degreebifurcationtopological propertiesdecomposition theory\(SU(2)\) gauge theoryHopf indexbranch processChern density

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of Lie (super)algebras to physics, etc. (17B81) Applications of differential geometry to physics (53Z05) Characteristic classes and numbers in differential topology (57R20) Topological field theories in quantum mechanics (81T45) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (6)

ϕ-MAPPING TOPOLOGICAL THEORY IN TWO-GAP SUPERCONDUCTOR ⋮ Inner topological structure of Hopf invariant ⋮ Topological tensor current of p̃-branes in the φ-mapping theory ⋮ Various topological excitations in the SO(4) gauge field in higher dimensions ⋮ The branch processes of Chern-Simons (CS) \(p\)-branes ⋮ Non-Abelian Chern-Simons action is topological invariant on 3 simple knot

Cites Work

• Polynomial invariants for smooth four-manifolds
• Instanton moduli and topological soliton dynamics
• Characteristic forms and geometric invariants
• Polynomial invariants for \(SU(2)\) monopoles
• Lie groups as spin groups
• Conformal transformations and the effective action in the presence of boundaries
• Real representations of finite Clifford algebras. I. Classification
• Clifform calculus with applications to classical field theories
• Topological structure of Gauss–Bonnet–Chern density and its topological current
• Gauge potential decomposition, space-time defects, and Planck’s constant
• Supersymmetric Yang–Mills theory on a four-manifold

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