In F term SUSY breaking, is the minimum of V just:
That is the expression for the scalar potential. Before you can find a minimum, you need to use the equation of motion for [itex]F_i[/itex], which leads to a dependence on the scalar fields, [itex]F_i = f_i(\phi_j),[/itex] so that [itex]V = V(\phi_j)[/itex]. A minimum is the solution to [itex]\partial V/\partial\phi_i=0[/itex] with the correct properties on the 2nd derivatives.
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