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Breakdown of cluster decomposition in instanton calculations of the gluino condensate / Valentin V. Khoze; Weon-Jong Lee; Michael P. Mattis; Timothy Hollowood

Nuclear Physics B, Volume: "B570", Issue: 1-2, Pages: 241 - 266

Swansea University Author: Timothy, Hollowood

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Abstract

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-...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 1999
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28562
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Abstract: 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
College: College of Science
Issue: 1-2
Start Page: 241
End Page: 266