Abstract
Using an approach based on the canonical formalism, the Yang–Mills theories on a cylinder are rigorously analyzed. In this way the moduli space A/G, can be explicitly described with A being the space of connections and G the group of gauge transformations. In particular A/G0, G0 being the group of the pointed gauge transformations, is diffeomorphic to the structure group of the theory G, whereas A/G is G modulo the group of inner automorphisms. It is also proven that A → G is a principal fiber bundle with structure group G0.
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