$\beta$-functions in large-$N_f$ supersymmetric gauge theories

C.G. North; D.R.T. Jones; I. Jack; P.M. Ferreira

$\beta$-functions in large-$N_f$ supersymmetric gauge theories

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arxiv hep-ph/9705328 v1 pith:DHVMASNY submitted 1997-05-15 hep-ph

P.M. Ferreira , I. Jack , D.R.T. Jones , C.G. North This is my paper · ORCID

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keywords supersymmetricbetafunctionsgaugelarge-theoriesanomalousapproximation

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abstract

We present calculations of the leading and $O(1/N_f)$ terms in a large-$N_f$ expansion of the $\beta$-functions and anomalous dimensions for various supersymmetric gauge theories, including supersymmetric QCD. In the case of supersymmetric QCD, we show that our $O(1/N_f)$ approximation displays an infra-red fixed point in the conformal window $3N_c/2 < N_f < 3N_c$.

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