O(3)-symmetric merons in SU(N) gauge theory

Journal Article · Thu May 15 04:00:00 EDT 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.2953· OSTI ID:5447785

Horvath, Z; Palla, L

We investigate nonreducible O(3)-symmetric meron solutions to classical SU(N+1) Yang-Mills theory in four-dimensional Euclidean space. For even N the solutions have topological charge densities equal to a sum of delta functions with integer coefficients while for odd N (N>1) these coefficients can be both integer and half-integer. In all cases they correspond to solutions of a system of N coupled singular elliptic equations. We discuss the existence of two-meron solutions of this system and for N=3,4 give some numerical solutions.

• Research Organization: Institute for Theoretical Physics, Roland Eoetvoes University, H-1088 Budapest, Hungary
• OSTI ID: 5447785
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHARGE DENSITY
CLASSICAL MECHANICS
DELTA FUNCTION
DYNAMICAL GROUPS
EUCLIDEAN SPACE
FUNCTIONS
GAUGE INVARIANCE
HIGGS MODEL
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MECHANICS
MERONS
NUMERICAL SOLUTION
O GROUPS
PARTICLE MODELS
QUASI PARTICLES
RIEMANN SPACE
SPACE
SU GROUPS
SYMMETRY GROUPS
YANG-MILLS THEORY