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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17 pages, v2: Footnote added, typos corrected, v3: Reference added

Scientific paper

10.1088/1126-6708/2003/08/049

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

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