Breakdown of Cluster Decomposition in Instanton Calculations of the Gluino Condensate

Details Breakdown of Cluster Decomposition in Instanton Calculations of the Gluino Condensate Breakdown of Cluster Decomposition in Instanton Calculations of the Gluino Condensate

1999-04-15

arxiv.org/abs/hep-th/9904116v2

Nucl.Phys. B570 (2000) 241-266

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, uses an avant-garde version of LaTeX; this version incorporates improved numerics as well as an enhanced discussion

Scientific paper

10.1016/S0550-3213(99)00503-9

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.

Affiliated with

Also associated with

No associations

Rating

Breakdown of Cluster Decomposition in Instanton Calculations of the Gluino Condensate does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Breakdown of Cluster Decomposition in Instanton Calculations of the Gluino Condensate, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Breakdown of Cluster Decomposition in Instanton Calculations of the Gluino Condensate will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-309728