%0 Journal Article
%T Breakdown of Cluster Decomposition in Instanton Calculations of the Gluino Condensate
%A T. J. Hollowood
%A V. V. Khoze
%A W. Lee
%A M. P. Mattis
%J Physics
%D 1999
%I arXiv
%R 10.1016/S0550-3213(99)00503-9
%X A longstanding puzzle concerns the calculation of the gluino condensate <{tr\lambda^2\over 16\pi^2}> = c\Lambda^3 in N=1 supersymmetric SU(N) gauge theory: so-called weak-coupling instanton (WCI) calculations give c=1, whereas strong-coupling instanton (SCI) calculations give, instead, c=2[(N-1)!(3N-1)]^{-1/N}. By examining correlators of this condensate in arbitrary multi-instanton sectors, we cast serious doubt on the SCI calculation of <{tr\lambda^2\over 16\pi^2}> by showing that an essential step --- namely cluster decomposition --- is invalid. We also show that the addition of a so-called Kovner-Shifman vacuum (in which <{tr\lambda^2\over 16\pi^2}> = 0) cannot straightforwardly resolve this mismatch.
%U http://arxiv.org/abs/hep-th/9904116v2