Breakdown of cluster decomposition in instanton calculations of the gluino condensate
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Publication:1572522
DOI10.1016/S0550-3213(99)00503-9zbMATH Open0951.81087arXivhep-th/9904116OpenAlexW2020006716MaRDI QIDQ1572522
Author name not available (Why is that?)
Publication date: 12 July 2000
Published in: (Search for Journal in Brave)
Abstract: A longstanding puzzle concerns the calculation of the gluino condensate <{trlambda^2over 16pi^2}> = cLambda^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 <{trlambda^2over 16pi^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 <{trlambda^2over 16pi^2}> = 0) cannot straightforwardly resolve this mismatch.
Full work available at URL: https://arxiv.org/abs/hep-th/9904116
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