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Poincaré recurrence theorem and the strongCPproblem

2005/03/31 by Alex C. Kalloniatis, A. C. Kalloniatis, S. N. Nedelko +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.73.034006

published as Phys.Rev. D73 (2006) 034006 · 8 pages, RevTeX, 3 figures. Revised after referee suggestions. Now includes model independent arguments

arxiv created 2006/01/25 · openalex publication_date 2006/02/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The existence in the physical QCD vacuum of nonzero gluon condensates, such as ⟨g2F2⟩, requires dominance of gluon fields with finite mean action density. This naturally allows any real number value for the unit ``topological charge'' q characterizing the fields approximating the gluon configurations which should dominate the QCD partition function. If q is an irrational number then the critical values of the \ensuremathθ parameter for which CP is spontaneously broken are dense in ℝ, which provides for a mechanism of resolving the strong CP problem simultaneously with a correct implementation of UA(1) 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.

Citations