Instanton Parameters for Arbitrary Gauge Groups

Aug, 1977
40 pages
Published in:
  • Phys.Rev.D 16 (1977) 2967
Report number:
  • CU-TP-105

Citations per year

1978199020022014202402468
Abstract: (APS)
The number of parameters entering a Euclidean Yang-Mills solution with topological charge k is determined for a theory constructed from an arbitrary Lie group G. It is shown that this number is precisely that required to specify the position, scale, and relative group orientation of k independent solutions each with minimum topological charge 1. Such minimal single-pseudoparticle solutions can be obtained by embedding the familiar SU2 pseudoparticle of Belavin et al. into the general Lie group.
  • GAUGE FIELD THEORY: VECTOR
  • FIELD THEORETICAL MODEL: YANG-MILLS
  • FIELD THEORY: INSTANTON
  • SYMMETRY: SU(2)
  • SYMMETRY: SU(3)
  • GROUP THEORY: LIE
  • ALGEBRA: LIE
  • CHARGE: TOPOLOGICAL CHARGE