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Effective Potential of Super Yang-Mills theory on M^4\times S^1 and related topics

Kazunori Takenaga
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Abstract

We study the gauge symmetry breaking of an ${\cal N}=1$ supersymmetric Yang-Mills theory defined on $M^4\times S^1$, taking correctly account of the vacuum expectation values for the adjoint scalar field $\vevΣ$ in vector multiplet in addition to the Wilson line phases $\vev{A_y}$. We evaluate the one-loop effective potential and obtain the vacuum configuration, for which an SU(N) gauge symmetry is not broken. In case of an orbifold $S^1/Z_2$, under appropriate orbifolding boundary conditions, two Higgs doublets are embedded in the zero modes, $A_y^{(0)}$ and $Σ^{(0)}$. We point out that the tree-level scalar potential resulted from the covariant derivative for the adjoint scalar field is identical to the $D$-term of the MSSM. We also briefly mention the mass spectra of the gauge and Higgs sector in the theory.

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Kazunori Takenaga. 2005-07-04. Effective Potential of Super Yang-Mills theory on M^4\times S^1 and related topics. https://arxiv.org/abs/hep-ph/0507034

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