Chiral QCD vacuum energy density in the zero modes enhancement quantum model

Citation
V. Gogohia et al., Chiral QCD vacuum energy density in the zero modes enhancement quantum model, INT J MOD P, 15(1), 2000, pp. 45-64
Citations number
66
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
ISSN journal
0217751X → ACNP
Volume
15
Issue
1
Year of publication
2000
Pages
45 - 64
Database
ISI
SICI code
0217-751X(20000110)15:1<45:CQVEDI>2.0.ZU;2-N
Abstract
Using the effective potential approach for composite operators we have form ulated the quantum model of the QCD vacuum. It is based on the existence an d importance of the nonperturbative q(-4)-type dynamical, topologically non trivial excitations of the gluon field configurations (due to self-interact ion of the massless gluons only). The QCD vacuum is found to be stable sinc e the vacuum energy density has no imaginary part. The Yang-Mills (YM) part of the vacuum energy density is always negative and depends on a finite sc ale at which nonperturbative effects become important. The quark part of th e vacuum energy density depends in addition on the constant of integration of the corresponding Schwinger-Dyson equation. The value of the above-menti oned scale is determined from the bounds for the pion decay constant in the :chiral limit. Our value for the chiral QCD vacuum energy density is one or der of magnitude bigger than the instanton based models can provide while a fair agreement with recent phenomenological and lattice results for the ch iral condensate is obtained.