Probing the Infrared Structure of Gauge Theories: A Pade-Approximant Approach

@article{Chishtie2000ProbingTI,
  title={Probing the Infrared Structure of Gauge Theories: A Pade-Approximant Approach},
  author={Farrukh Ahmed Chishtie and Victor Elias and Vladimir A. Miransky and T. G. Steele},
  journal={International Journal of Modern Physics A},
  year={2000},
  volume={16},
  pages={913-915}
}
Pade-approximant treatments of the known terms of the QCD β-function are seen to develop possible infrared fixed point structure only if the number of fermion flavours is sufficiently large. This flavour threshold is seen to be between six and nine flavours, depending upon both the specific choice of approximant as well as on the presently-unknown five-loop β-function contribution. Below this flavour threshold, Pade approximants based upon the QCD β-function manifest the same infrared attractor… 
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