### Abstract

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 δ 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.

Original language | English |
---|---|

Pages (from-to) | 2953-2961 |

Number of pages | 9 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 21 |

Issue number | 10 |

DOIs | |

Publication status | Published - 1980 |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

**O(3)-symmetric merons in SU(N) gauge theory.** / Horváth, Z.; Palla, L.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 21, no. 10, pp. 2953-2961. https://doi.org/10.1103/PhysRevD.21.2953

}

TY - JOUR

T1 - O(3)-symmetric merons in SU(N) gauge theory

AU - Horváth, Z.

AU - Palla, L.

PY - 1980

Y1 - 1980

N2 - 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 δ 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.

AB - 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 δ 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.

UR - http://www.scopus.com/inward/record.url?scp=35949020306&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35949020306&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.21.2953

DO - 10.1103/PhysRevD.21.2953

M3 - Article

AN - SCOPUS:35949020306

VL - 21

SP - 2953

EP - 2961

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 10

ER -