On the topology of the reduced classical configuration space of lattice QCD

JOURNAL OF GEOMETRY AND PHYSICS

卷:58

Article

Charzynski, S.²  Rudolph, G.¹  Schmidt, M.¹ 

[1] Univ Leipzig, Inst Theoret Phys, D-04109 Leipzig, Germany

[2] Polish Acad Sci, Ctr Theoret Phys, PL-02668 Warsaw, Poland

关键词: Reduced configuration space;    Gauge orbit space;    Lattice gauge theory;    Cell decomposition;    Singular reduction;   

DOI  :  10.1016/j.geomphys.2008.07.005

来源: Elsevier

【 摘 要 】

We study the topological structure of the quotient X of SU(3) x SU(3) by diagonal conjugation. This is the simplest nontrivial example for the classical reduced configuration space of chromodynamics on a spatial lattice in the Hamiltonian approach. We construct a cell complex structure of X in such a way that the closures of strata are subcomplexes and compute the homology and cohomology groups of the strata and their closures. (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

Free