Periodic generalizations of static, self-dual SU(2) gauge fields

Journal Article · Thu Jan 15 04:00:00 EST 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.35.696· OSTI ID:5978647

Chakrabarti, A

Linear pairs are used to inject time dependence (periodic or not) in a particularly simple fashion into static, self-dual SU(2) gauge fields. A canonical formalism is proposed for periodic generalizations of Euclidean versions of monopoles of arbitrary charge. The cases whose static limit corresponds to charges 1 and 2 are studied in some detail. Finite actions over one period are obtained. As nonperiodic examples Witten's solution for arbitrary index is derived in the context of our formalism with one single pole and a class of possible generalizations is indicated. A further generalization of our formalism, in another direction, is sketched. It is based on a coordinate transformation leading to a ''time'' with finite domain. This paper is principally concerned with periodic solutions. Such generalizations of only spherically and axially symmetric static solutions are considered here. The basic formalism, however, is not thus limited.

• Research Organization: Centre de Physique Theorique de l'Ecole Polytechnique, Plateau de Palaiseau, 91128 Palaiseau, Cedex, France
• OSTI ID: 5978647
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 35:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EUCLIDEAN SPACE
FIELD THEORIES
GAUGE INVARIANCE
INSTANTONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL SPACE
MONOPOLES
PROPAGATOR
QUASI PARTICLES
RIEMANN SPACE
SPACE
SPINORS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
TIME DEPENDENCE