English

Chiral Effects in the Confining QCD Vacuum

High Energy Physics - Phenomenology 2009-07-28 v1

Abstract

Confining configurations are introduced into the standard instanton vacuum model. This drastically improves theoretical properties of the vacuum: instanton size density d(ρ)d(\rho) stabilizes at ρ0.2fm\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 Rchρ0.2fmR_{ch}\sim \rho\sim 0.2 fm much less than confining radius RcR_c\sim hadron radius 1fm\sim 1 fm. In the limit RchRcR_{ch}\ll R_c the chiral mass Mch(p)M_{ch}(p) is unaffected by confinement and can be taken in the local limit Mch(p=0)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 qqˉq\bar{q} system is briefly disscussed using confining ECL with quarks, mesons and gluons.

Keywords

Cite

@article{arxiv.hep-ph/9401320,
  title  = {Chiral Effects in the Confining QCD Vacuum},
  author = {Yu. A. Simonov},
  journal= {arXiv preprint arXiv:hep-ph/9401320},
  year   = {2009}
}

Comments

40 pages, preprint ITEP-83-93

R2 v1 2026-07-22T14:19:47.249Z