Theorem on the existence of dyon solutions

Journal Article · Wed Apr 01 04:00:00 EST 1981 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(81)90070-1· OSTI ID:6313217

Schechter, M; Weder, R

We prove the existence of finite energy dyon solutions to Yang-Mills-Higgs equations satisfying the Julia-Zee ansatz, and the generalization of SU(N) gauge groups. This rigorously establishes the existence of a model for the particles having electric and magnetic charge conjectured by Schwinger. We also prove that the solutions are real analytic on (0,infinity) and C/sup infinity/ at r = 0. To establish our result we prove a new abstract theorem that allows one to study singular constrained minimization problems without the introduction of Lagrange multipliers.

• Research Organization: Yeshiva University, New York, New York 10033
• OSTI ID: 6313217
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 132:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
DYONS
ELEMENTARY PARTICLES
ENERGY
FUNCTIONS
HILBERT SPACE
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL SPACE
POSTULATED PARTICLES
SPACE
SU GROUPS
SYMMETRY GROUPS
YANG-MILLS THEORY