Abstract
The existence in the physical QCD vacuum of nonzero gluon condensates, such as , requires dominance of gluon fields with finite mean action density. This naturally allows any real number value for the unit “topological charge” characterizing the fields approximating the gluon configurations which should dominate the QCD partition function. If is an irrational number then the critical values of the parameter for which is spontaneously broken are dense in , which provides for a mechanism of resolving the strong problem simultaneously with a correct implementation of symmetry. We present an explicit realization of this mechanism within a QCD motivated domain model. Some model independent arguments are given that suggest the relevance of this mechanism also to genuine QCD.
- Received 17 March 2005
DOI:https://doi.org/10.1103/PhysRevD.73.034006
©2006 American Physical Society