Studying the properties of domain wall network as QCD vacuum

by Shalva Bilanishvili (L)

Tuesday 20 Feb 2018, 14:30 → 15:30 Europe/Rome

Aula Divisione Acceleratori (LNF)

The general underlying purpose of this study is a renement of understanding the mechanism of connement in quantum chromodynamics (QCD) within the approach based on the specic background vacuum gluon congurations { almost everywhere homogeneous Abelian gluon elds represented by the statistical ensemble of domain wall networks. In particular, the aim of the present study is to investigate the role of quark low-lying modes in the presence of these background elds for stabilization of a nite size of a space-time regions (domains) where the background (anti-)self-dual Abelian eld can be seen as homogeneous. This task is of principal importance for justication of the domain model of connement, chiral symmetry realization and colorless hadron formation in QCD. This estimation indicates that, based solely on the requirement of minimal energy, the quark zero modes may provide for a self- consistent mechanism of formation of the domain structured vacuum gluon congurations.The regular solution of the problem related to explicit evaluation of the energy of the Abelian (anti-self-)dual domain with nite size, that is also formulated in this work but not yet solved, can lead to the very interesting mechanism of the domain size stabilization due to the quasi-zero modes of the quark elds in the (anti-) self-dual background.