Merons and meronlike configurations

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

DOI:https://doi.org/10.1103/PhysRevD.19.3050· OSTI ID:6149369

Chakrabarti, A; Comtet, A

We study successively for SU(2), SU(3), and SU(4) gauge groups and for Euclidean metric singular solutions of the equations of motions for ''meronlike'' Ansatze, namely for A/sub ..mu../ = (1/2) i (partial/sub ..mu../U) U/sup -1/, where U is chosen among particular classes of gauge operators for the groups in question. For SU(3) and SU(4), apart from generalizations of logarithmically divergent SU(2) solutions, we construct explicitly new classes of solutions which have meron-type topological index but a stronger than logarithmic divergence in the action. The study of a possible hierarchy of divergent solutions is thus initiated. But we start with a brief recapitulation of known SU(2) solutions mostly in order to study, carefully and in detail, the consequences of certain classes of singular gauge transformations. We show very explicitly that using them, solutions with a continuous spectrum of the topological index are obtained. Implications of our results are discussed.

• Research Organization: Centre de Physique Theorique de l'Ecole Polytechnique, Plateau de Palaiseau - 91128 Palaiseau, France
• OSTI ID: 6149369
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 19:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645301 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
EUCLIDEAN SPACE
GAUGE INVARIANCE
INSTANTONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL SPACE
MERONS
METRICS
QUASI PARTICLES
RIEMANN SPACE
SPACE
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SU-4 GROUPS
SYMMETRY GROUPS