Global structure of static Euclidean SU(2) solutions

Journal Article · Sat Sep 15 04:00:00 EDT 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.20.1386· OSTI ID:5937593

Adler, S L

I investigate the structure of static Euclidean SU(2) fields by using both explicit solutions and topological and variational arguments. I characterize the general vertical-barnvertical-bar = 1 finite-energy static SU(2) field by the set of points (the zero-set) on which b/sup 0/ vanishes, and argue that the Prasad-Sommerfield solution, which has an isolated point zero-set, is in fact the degenerate limit of a much wider class of (anti-) self-dual distribution solutions with 1-, 2-, or 3-dimensional zero-sets. In particular, I give arguments suggesting that there are (anti-) self-dual ''string'' configurations with a line segment as zero-set, and that these solve the source-free static Euclidean field equations. The possible role of such solutions as background fields in the quark-confinement problem is discussed, and a program of numerical investigations is outlined.

• Research Organization: The Institute for Advanced Study, Princeton, New Jersey, 08540
• OSTI ID: 5937593
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 20:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BOUNDARY CONDITIONS
COMPOSITE MODELS
CONSTRUCTIVE FIELD THEORY
ENERGY
EQUATIONS
EXTENDED PARTICLE MODEL
FIELD EQUATIONS
FIELD THEORIES
FREE ENERGY
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
PHYSICAL PROPERTIES
QUANTUM FIELD THEORY
QUANTUM NUMBERS
QUARK MODEL
STRING MODELS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
THERMODYNAMIC PROPERTIES
VARIATIONAL METHODS