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

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 Nf fermions. Separately, for an asymptotically free gauge theory with a gauge group G and Nf 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′ scheme and several types of momentum subtraction schemes.