Topological density and instantons on a lattice

Lattice of compactifications of a topological group

We show that the lattice of compactifications of a topological group $G$ is a complete lattice which is isomorphic to the lattice of all closed normal subgroups of the Bohr compactification $bG$ of $G$. The correspondence defines a contravariant functor from the category of topological groups to the category of complete lattices. Some properties of the compactification lattice of a topological ...

Topological Yang Mills and Instantons

By defining an extended BRST operator that includes the chiral part of N=2 global supersymmetry, it is shown that the full N=2 offshell Super Yang Mills Action can be represented as an exact BRST term. The action written in this form suggests that the fields of the Topological Yang Mills theory can be defined in terms of composite fields of supersymmetry ghosts and N=2 fields in a natural way. ...

Instantons: topological aspects

Coexistence of monopoles and instantons for different topological charge definitions and lattice actions

We compute instanton sizes and study correlation functions between instantons and monopoles in maximum abelian projection within SU(2) lattice QCD at finite temperature. We compare several definitions of the topological charge, different lattice actions and methods of reducing quantum fluctuations. The average instanton size turns out to be σ ≈ 0.2 fm. The correlation length between monopoles a...

ar X iv : h ep - l at / 9 50 10 09 v 1 1 2 Ja n 19 95 Topological Density and Instantons on a Lattice ∗

We present an update on the study of topological structure of QCD. Issues addressed include a comparison between the plaquette and the geometric methods of calculating the topological density. We show that the improved gauge action based on √ 3 blocking transformation suppresses the formation of topologically charged dislocations with low action. Using a cooling method we identify the instanton...