One-loop effective potential for the vacuum gauge field in $M_3\times S^3 \times S^1$ space-times

Details One-loop effective potential for the vacuum gauge field in $M_3\times S^3 \times S^1$ space-times One-loop effective potential for the vacuum gauge field in $M_3\times S^3 \times S^1$ space-times

2004-05-18

arxiv.org/abs/hep-th/0405154v3

Mod.Phys.Lett. A20 (2005) 833

Physics

High Energy Physics

High Energy Physics - Theory

8pages, 2 figures. RevTeX4; some typos corrected

Scientific paper

10.1142/S0217732305016932

We calculate the effective potential for the vacuum gauge field from the one-loop matter effect in $M_3\times S^3\times S^1$ space-time. This background geometry is motivated from the recent studies on gauged supergravities with a positive-definite potential, which admits a generalized Kaluza-Klein reduction. We investigate how symmetry breaking patterns through the Hosotani mechanism are affected by the ratio of the radii of $S^1$ and $S^3$.

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