Gauge Zero Modes, Instanton Determinants, and QCD Calculations
Jan, 197923 pages
Published in:
- Phys.Rev.D 19 (1979) 3013
Report number:
- UCLA/79/TEP/3
Citations per year
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
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