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arXiv · 1306.2648

Topological phase states of the SU(3) QCD

Alexander P. Protogenov·Evgueni V. Chulkov·Jeffrey C. Y. Teo
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Abstract

We consider the topologically nontrivial phase states and the corresponding topological defects in the SU(3) d-dimensional quantum chromodynamics (QCD). The homotopy groups for topological classes of such defects are calculated explicitly. We have shown that the three nontrivial groups are pi_3 SU(3)=Z, pi_5 SU(3)=Z, and pi_6 SU(3)=Z_6 if 3 < d < 6. The latter result means that we are dealing exactly with six topologically different phase states. The topological invariants for d=3,5,6 are described in detail.

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Alexander P. Protogenov, Evgueni V. Chulkov, Jeffrey C. Y. Teo. 2013-06-11. Topological phase states of the SU(3) QCD. https://doi.org/10.1088/1742-6596%2F482%2F1%2F012035

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