Correlation functions between topological objects -- field theoretic versus geometric definitions

Details Correlation functions between topological objects -- field theoretic versus geometric definitions Correlation functions between topological objects -- field theoretic versus geometric definitions

1996-08-08

arxiv.org/abs/hep-lat/9608038v1

Nucl.Phys.Proc.Suppl. 53 (1997) 550-552

Physics

High Energy Physics

High Energy Physics - Lattice

Talk presented at LATTICE96 (topology), 3 pages, 6 eps figures

Scientific paper

10.1016/S0920-5632(96)00715-3

We analyze topological objects in pure gluonic $SU(2)$ lattice gauge theory and compute correlation functions between instantons and monopoles. Concerning the instantons we use geometric and field theoretic definitions of the topological charge. On a $12^3\times 4$ lattice it turns out that topological quantities have a non-trivial local correlation. The auto-correlation functions of the topological charge depend on cooling for both definitions. We fit the correlation functions to exponentials and obtain screening masses.

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