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

M. Feurstein·H. Markum·St. Thurner
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Abstract

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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M. Feurstein, H. Markum, St. Thurner. 1996-08-08. Correlation functions between topological objects -- field theoretic versus geometric definitions. https://doi.org/10.1016/s0920-5632(96)00715-3

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