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 |
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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: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3021996 |