Another approach to local cohomology problem in abelian lattice gauge theories

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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21 pages,uses JHEP3.cls

Scientific paper

A new technique is proposed to classify a topological field in abelian lattice gauge theories. We perform the classification by regarding the topological field as a local composite field of the gauge field tensor instead of the vector potential associated to an admissible gauge field. Our method reproduces the result obtained by the ordinary method in the infinite four-dimensional lattice and can be extended to arbitrary higher dimensions. It also works in the direct cohomological analysis on a finite lattice.

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