Dynamics of nonintegrable phases in softly broken supersymmetric gauge theory with massless adjoint matter

We study SU(N) supersymmetric Yang-Mills theory with massless adjoint matter defined on M(3)circle timesS(1). The SU(N) gauge symmetry is broken maximally to U(1)(N-1), independent of the number of flavor and the boundary conditions of the fields associated with the Scherk-Schwarz mechanism of supersymmetry breaking. The mass of the Higgs scalar is generated through quantum corrections in the extra dimension. The quantum correction can become manifest by a finite Higgs boson mass at low energies even in the limit of small extra dimensions thanks to the supersymmetry breaking parameter of the Scherk-Schwarz mechanism.