Vacuum replicas in QCD
Abstract
The properties of the vacuum are addressed in the two- and four-dimensional quark models for QCD. It is demonstrated that the two-dimensional QCD ('t Hooft model) possesses only one possible vacuum state - the solution to the mass-gap equation, which provides spontaneous breaking of the chiral symmetry (SBCS). On the contrary, the four-dimensional theory with confinement modeled by the linear potential supplied by the Coulomb OGE interaction, not only has the chirally-noninvariant ground vacuum state, but it possesses an excited vacuum replica, which also exhibits SBCS and can realize as a metastable intermediate state of hadronic systems. We discuss the influence of the latter on physical observables as well as on the possibility to probe the vacuum background fields in QCD.
Cite
@article{arxiv.hep-ph/0201173,
title = {Vacuum replicas in QCD},
author = {P. J. A. Bicudo and A. V. Nefediev and J. E. F. T. Ribeiro},
journal= {arXiv preprint arXiv:hep-ph/0201173},
year = {2009}
}
Comments
RevTeX4, 26 pages, 8 EPS figures, extended references, corrected some typos, to appear in Phys.Rev.D