Instanton Based Vacuum from Feynman Variational Principle
Oct, 198334 pages
Published in:
- Nucl.Phys.B 245 (1984) 259-292
- Published: 1984
Report number:
- LENINGRAD-83-900
Citations per year
Abstract: (Elsevier)
We investigate the possibility that the most essential non-perturbative gauge field configurations in QCD are of an instanton-anti-instanton type. Since these are not exact solutions of classical equations, we use a modification of the Feynman variational principle in order to calculate in a mathematically consistent way the contribution of given trial gauge field configurations (with small oscillations around them) to the QCD partition function. We observe an effective repulsion of instantons which removes the usual infrared problems of the instanton calculus. The repulsion leads to the stabilization of the pseudoparticle “liquid” at distances being a factor of ∼ 3 larger than their average sizes. We calculate the upper bound for the vacuum energy, the non-perturbative gluon condensate 〈 F μν 2 〉, the topological susceptibility, etc. in terms of renormalization-invariant combinations. We find our numerical results reasonable from the phenomenological point of view.- GAUGE FIELD THEORY: SU(N)
- FIELD EQUATIONS: INSTANTON
- GLUON: CONDENSATION
- GLUEBALL
- RENORMALIZATION
- MATHEMATICAL METHODS: VARIATIONAL
- NUMERICAL CALCULATIONS
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