Topological phase states of the SU(3) QCD

Physics and Mathematics of Nonlinear Phenomena 2013

Protogenov, Alexander P.^1,2 ; Chulkov, Evgueni V.^2,3,4 ; Teo, Jeffrey C. Y.^5

Institute of Applied Physics, Nizhny Novgorod 603950, Russia^1

Donostia International Physics Center (DIPC), 20018 San Sebastián/Donostia, Spain^2

Departamento de Física de Materiales UPV/EHU, Centro de Física de Materiales CFM-MPC, Universidad Del Pais Vasco/Euskal Herriko Unibertsitatea, 20080 San Sebastián/Donostia, Spain^3

Tomsk State University, Tomsk 634050, Russia^4

Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, United States^5

关键词: Homotopy groups;    Phase state;    Quantum chromodynamics;    Topological defect;    Topological invariants;    Topological phase;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/482/1/012035/pdf
DOI  :  10.1088/1742-6596/482/1/012035

来源: IOP

【 摘 要 】

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 π3SU(3) = Z, π5SU(3) = Z, and π6SU(3) Z6if 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.