## Abstract

We consider an asymptotically free, vectorial, N ¼ 1 supersymmetric gauge theory with gauge group G

and Nf pairs of chiral superfields in the respective representations R and R¯ of G, having an infrared fixed

point (IRFP) of the renormalization group at αIR. We present exact results for the anomalous dimensions of

various (gauge-invariant) composite chiral superfields γΦprod at the IRFP and prove that these increase

monotonically with decreasing Nf in the non-Abelian Coulomb phase of the theory and that schemeindependent

expansions for these anomalous dimensions as powers of an Nf-dependent variable, Δf,

exhibit monotonic and rapid convergence to the exact γΦprod throughout this phase. We also present a

scheme-independent calculation of the derivative of the beta function, dβ=dαjα¼αIR , denoted β0

IR, up to

OðΔ3

fÞ for general G and R, and, for the case G ¼ SUðNcÞ, R ¼ F, we give an analysis of the properties of

β0

IR calculated to OðΔ4

fÞ.

and Nf pairs of chiral superfields in the respective representations R and R¯ of G, having an infrared fixed

point (IRFP) of the renormalization group at αIR. We present exact results for the anomalous dimensions of

various (gauge-invariant) composite chiral superfields γΦprod at the IRFP and prove that these increase

monotonically with decreasing Nf in the non-Abelian Coulomb phase of the theory and that schemeindependent

expansions for these anomalous dimensions as powers of an Nf-dependent variable, Δf,

exhibit monotonic and rapid convergence to the exact γΦprod throughout this phase. We also present a

scheme-independent calculation of the derivative of the beta function, dβ=dαjα¼αIR , denoted β0

IR, up to

OðΔ3

fÞ for general G and R, and, for the case G ¼ SUðNcÞ, R ¼ F, we give an analysis of the properties of

β0

IR calculated to OðΔ4

fÞ.

Original language | English |
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Article number | 105018 |

Journal | Physical Review D |

Volume | 96 |

Issue number | 10 |

Number of pages | 25 |

ISSN | 2470-0010 |

DOIs | |

Publication status | Published - 2017 |

## Keywords

- hep-th
- hep-lat
- hep-ph