Scheme-independent calculations of anomalous dimensions of baryon operators in conformal field theories

Gracey, John A ORCID: 0000-0002-9101-2853, Ryttov, Thomas A and Shrock, Robert (2018) Scheme-independent calculations of anomalous dimensions of baryon operators in conformal field theories. PHYSICAL REVIEW D, 97 (11). 116018-.

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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.

Item Type:	Article
Additional Information:	16 pages, 4 figures
Uncontrolled Keywords:	hep-th, hep-th, hep-lat, hep-ph
Depositing User:	Symplectic Admin
Date Deposited:	01 Jun 2018 08:49
Last Modified:	19 Jan 2023 01:33
DOI:	10.1103/PhysRevD.97.116018
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3021996