Topology of Euclidean Yang--Mills fields: Instantons and monopoles

Journal Article · Thu Sep 01 04:00:00 EDT 1977 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.523485· OSTI ID:7219585

Yoneya, T

We discuss the topological properties of the Yang--Mills fields from a unified point of view of the Wu--Yang global formulation. In four-dimensional Euclidean space, the gauge type is characterized by the second Chern class. The multi-instanton solution recently found by 't Hooft and generalized by Jackiw, Nohl, and Rebbi is discussed from this point of view. We also discuss the generalization of the topology of instantons and monopoles in higher dimensional spaces and the relation among them.

• Research Organization: Department of Physics, The City College of the City University of New York, New York, New York 10031
• OSTI ID: 7219585
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 18:9; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EUCLIDEAN SPACE
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL SPACE
MATHEMATICS
MONOPOLES
RIEMANN SPACE
SPACE
TOPOLOGY
YANG-MILLS THEORY