2005/12/31 by Rafael Díaz, E. Fuenmayor, Lorenzo Leal
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Charge (physics) #Classical mechanics #Computer science #Field (mathematics) #Gauge theory #Geometric and Algebraic Topology #Geometry #Interpretation (philosophy) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Plane (geometry) #Point (geometry) #Point particle #Pure mathematics #Quantum mechanics #Surface (topology) #Theoretical physics #Yang–Mills existence and mass gap #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.73.065012
published as Phys.Rev. D73 (2006) 065012 · 17 pages, 2 figures
arxiv created 2006/01/24 · openalex publication_date 2006/03/10 · arxiv updated 2016/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study a method to obtain invariants under area-preserving diffeomorphisms associated to closed curves in the plane from classical Yang-Mills theory in two dimensions. Taking as starting point the Yang-Mills field coupled to nondynamical particles carrying chromo-electric charge, and by means of a perturbative scheme, we obtain the first two contributions to the on-shell action, which are area-invariants. A geometrical interpretation of these invariants is given.