Topological and non-topological solutions in the 3-phase model of hybrid chiral bag

Details Topological and non-topological solutions in the 3-phase model of hybrid chiral bag Topological and non-topological solutions in the 3-phase model of hybrid chiral bag

2002-01-14

arxiv.org/abs/hep-ph/0201124v1

Part.Nucl.Lett. 113 (2002) 14-35

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, 9 figures

Scientific paper

The 3-phase version of the hybrid chiral bag model, containing the phase of asymptotic freedom, the hadronization phase as well as the intermediate phase of constituent quarks, is proposed. For this model the self-consistent solutions, which take into account the fermion vacuum polarization effects, are found in 1+1 D. The renormalized total energy of the bag is studied as a function of its geometry and topological (baryon) number. It is shown that in the case of non-zero topological charge there exists a set of configurations being the local minima of the total energy of the bag and containing all the three phases, while in the non-topological case the minimum of the total energy of the bag corresponds to vanishing size of the phase of asymptotic freedom.

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