Effective Gauge Degrees of Freedom and the (Non)existence of the Glueball Superpotential

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We propose an efficient way to obtain a correct Veneziano-Yankielowicz type integration constant of the effective glueball superpotential Weff(S,g,Λ), even for massless theories. Applying our method, we show some N = 1 theories do not have such an effective glueball superpotential, even though they have isolated vacua. In these cases, S = 0 typically.