A Green's Function for the General Selfdual Gauge Field

Apr, 1978
14 pages
Published in:
  • Nucl.Phys.B 140 (1978) 31-44
  • Published: 1978
Report number:
  • LPTENS 78/13

Citations per year

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Abstract: (Elsevier)
The recent general solution by Atiyah, Hitchin, Drinfeld and Manin of the self-duality equations for an arbitrary compact classical group is discussed. The Green function for a scalar field transforming as a vector under the group is shown to take an elegant form in the background field of the general self-dual solution. The massless solutions of the Dirac equation, for this representation of the group, are also explicitly exhibited.
  • GAUGE FIELD THEORY: BACKGROUND
  • DUALITY
  • SYMMETRY: SU(2)
  • GROUP THEORY
  • FIELD THEORETICAL MODEL: YANG-MILLS
  • GAUGE FIELD THEORY: SCALAR
  • Dirac equation
  • FIELD EQUATIONS: INSTANTON