Journal article 719 views
Breakdown of cluster decomposition in instanton calculations of the gluino condensate
Nuclear Physics B, Volume: "B570", Issue: 1-2, Pages: 241 - 266
Swansea University Author:
Timothy Hollowood
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DOI (Published version): 10.1016/S0550-3213(99)00503-9
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-...
| Published in: | Nuclear Physics B |
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| ISSN: | 05503213 |
| Published: |
1999
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| Online Access: |
Check full text
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| 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 |
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| College: |
Faculty of Science and Engineering |
| Issue: |
1-2 |
| Start Page: |
241 |
| End Page: |
266 |