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arXiv · 1805.02729

Scheme-Independent Calculations of Anomalous Dimensions of Baryon Operators in Conformal Field Theories

John A. Gracey·Thomas A. Ryttov·Robert Shrock
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Abstract

We present the first analytic scheme-independent series calculations of anomalous dimensions of several types of baryon operators at an infrared fixed point (IRFP) in an asymptotically free SU(3) gauge theory with $N_f$ fermions. Separately, for an asymptotically free gauge theory with a gauge group $G$ and $N_f$ fermions in a representation $R$ of $G$, we consider physical quantities at an IRFP, including the anomalous dimension of gauge-invariant fermion bilinears and the derivative of the beta function. These quantities have been calculated in series expansions whose coefficients have been proved to be scheme-independent at each order. We illustrate the scheme independence using a variety of schemes, including the RI$^\prime$ scheme and several types of momentum subtraction (MOM) schemes.

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John A. Gracey, Thomas A. Ryttov, Robert Shrock. 2018-05-12. Scheme-Independent Calculations of Anomalous Dimensions of Baryon Operators in Conformal Field Theories. https://doi.org/10.1103/physrevd.97.116018

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