Physics of the Non-Abelian Coulomb Phase: Insights from Padé approximants

@article{Ryttov2017PhysicsOT,
  title={Physics of the Non-Abelian Coulomb Phase: Insights from Pad{\'e} approximants},
  author={Thomas A. Ryttov and Robert Shrock},
  journal={Physical Review D},
  year={2017},
  volume={97},
  pages={025004}
}
We consider a vectorial, asymptotically free SU($N_c$) gauge theory with $N_f$ fermions in a representation $R$ having an infrared (IR) fixed point. We calculate and analyze Pad\'e approximants to scheme-independent series expansions for physical quantities at this IR fixed point, including the anomalous dimension, $\gamma_{\bar\psi\psi,IR}$, to $O(\Delta_f^4)$, and the derivative of the beta function, $\beta'_{IR}$, to $O(\Delta_f^5)$, where $\Delta_f$ is an $N_f$-dependent expansion variable… 

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