Physical auxiliary field in supersymmetric QCD with explicit supersymmetry breaking
Abstract
It is shown that the auxiliary field in the low-energy effective theory of the supersymmetric QCD (SU(Nc) gauge symmetry with flavors Nf < Nc) can be understood as a physical degree of freedom, once the supersymmetry is explicitly broken. Although the vacuum expectation value of the auxiliary field is just a measure of the supersymmetry breaking in the perturbative treatment of the supersymmetry breaking, it can be the vacuum expectation value of the quark bilinear operator in the non-perturbative treatment of the supersymmetry breaking. We show that the vacuum expectation value remains finite in the limit of the infinite supersymmetry-breaking mass of the squark. We have to take the large Nc limit simultaneously to keep the low-energy effective Kaehler potential being in good approximation.
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