Periodic and quasiperiodic SU(N) instantons

Journal Article · Sat Apr 15 04:00:00 EDT 1989 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.39.2381· OSTI ID:6454907

Chakrabarti, A; Roiesnel, C

Periodic and quasiperiodic, spherically symmetric, self-dual SU(N) gauge fields are constructed. They contain static, self-dual SU(N) monopoles and also a class of SU(N) instantons as two different limits. They are topologically characterized by monopolelike configurations on an asymptotic S/sup 2/ in R/sup 3/ and also by the action over one period (for the periodic case) or the normalized action over unit time (for the quasiperiodic case). The periodic solutions can be associated with gauge fields at finite temperatures. The possible significance of quasiperiodic fields, introduced in a previous paper for SU(2), is discussed in the context of SU(N). The particularly interesting case of SU(3) is studied in more detail.

• Research Organization: Centre de Physique Theorique de l'Ecole Polytechnique, 91128 Palaiseau CEDEX, France
• OSTI ID: 6454907
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 39:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645300* -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DUALITY
FIELD THEORIES
GAUGE INVARIANCE
INSTANTONS
INVARIANCE PRINCIPLES
LIE GROUPS
MONOPOLES
QUANTUM FIELD THEORY
QUASI PARTICLES
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
TEMPERATURE DEPENDENCE
TENSORS