Dynamical rearrangement of the theta parameter in the presence of a mixed Chern-Simons term

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We study the five-dimensional SU(3)(c)xU(1)(C) gauge theory on the orbifold S(1)/Z(2) with a mixed Chern-Simons term. We particularly pay attention to the realization of the dynamical rearrangement of the theta parameter for SU(3)(c). It is shown that the physics remains invariant under a large gauge transformation which even changes the action, completely removing the theta parameter, because of the Hosotani mechanism for the U(1)(C) gauge interactions. In other words, we show that the theta parameter can be regarded as a boundary condition for the orbifolding in light of the dynamical rearrangement.

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PHYSICAL REVIEW D. 78(8):085021 (2008)

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