Gauge Zero Modes, Instanton Determinants, and QCD Calculations

Jan, 1979
23 pages
Published in:
  • Phys.Rev.D 19 (1979) 3013
Report number:
  • UCLA/79/TEP/3

Citations per year

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Abstract: (APS)
A treatment of the gauge zero modes about an instanton in a singular gauge places them on the same footing as all other zero modes and simplifies the calculation of the collective-coordinate part of the instanton determinant. This determinant is calculated first for the gauge group SU(3) and then for general SU(N). The answers differ from previously published results: For SU(3), the reason for this difference is trivial [the inclusion of certain factors of 12 whose absence from 't Hooft's original SU(2) calculation was recently discovered] but the effects on quantum-chromodynamic calculations may be important; for large N, the reasons are more involved, but the usual conclusion that instantons are absent in the planar limit is unaffected.
  • GAUGE FIELD THEORY: SU(3)
  • GAUGE FIELD THEORY: SU(N)
  • FIELD EQUATIONS: INSTANTON
  • FIELD THEORY: PATH INTEGRAL
  • QUANTUM CHROMODYNAMICS