Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-01-25
Phys.Atom.Nucl.57:1418-1433,1994; Yad.Fiz.57:1491-1506,1994
Physics
High Energy Physics
High Energy Physics - Phenomenology
40 pages, preprint ITEP-83-93
Scientific paper
Confining configurations are introduced into the standard instanton vacuum model. This drastically improves theoretical properties of the vacuum: instanton size density $d(\rho)$ stabilizes at $\rho\sim 0.2 fm$, all chiral effects are formulated in a gauge-invariant way and quarks are confined. An interesting interplay of chiral and confining dynamics is observed; for the realistic values of parameters the Georgi-Manohar picture emerges with chiral radius $R_{ch}\sim \rho\sim 0.2 fm$ much less than confining radius $R_c\sim$ hadron radius $\sim 1 fm$. In the limit $R_{ch}\ll R_c$ the chiral mass $M_{ch}(p)$ is unaffected by confinement and can be taken in the local limit $M_{ch}(p=0)$. Different types of effective chiral Lagrangians (ECL) are obtained, containing all or a part of gluon, quark and Nambu--Goldstone--meson fields. The ECL are manifestly gauge--invariant and in the limit of no gluon fields coincide with those found previously. The problem of the double role of the pion -- as a Goldstone meson or as a $q\bar{q}$ system is briefly disscussed using confining ECL with quarks, mesons and gluons.
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