English

Topological phase states of the SU(3) QCD

High Energy Physics - Theory 2015-06-16 v1 Statistical Mechanics

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.

Keywords

Cite

@article{arxiv.1306.2648,
  title  = {Topological phase states of the SU(3) QCD},
  author = {Alexander P. Protogenov and Evgueni V. Chulkov and Jeffrey C. Y. Teo},
  journal= {arXiv preprint arXiv:1306.2648},
  year   = {2015}
}

Comments

LATEX2e, 5 pages