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

John A. Gracey (Theoretical Physics Division, Department of Mathematical Sciences, University of Liverpool, P.O. Box 147, Liverpool L69 3BX, United Kingdom) ; Thomas A. Ryttov (CP3-Origins, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark) ; Robert Shrock (C. N. Yang Institute for Theoretical Physics and Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794, USA)

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.

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      "source": "APS", 
      "value": "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 <math><msub><mi>N</mi><mi>f</mi></msub></math> fermions. Separately, for an asymptotically free gauge theory with a gauge group <math><mi>G</mi></math> and <math><msub><mi>N</mi><mi>f</mi></msub></math> fermions in a representation <math><mi>R</mi></math> of <math><mi>G</mi></math>, 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 <math><mrow><msup><mrow><mi>RI</mi></mrow><mrow><mo>\u2032</mo></mrow></msup></mrow></math> scheme and several types of momentum subtraction schemes."
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Published on:
22 June 2018
Publisher:
APS
Published in:
Physical Review D , Volume 97 (2018)
Issue 11
DOI:
https://doi.org/10.1103/PhysRevD.97.116018
arXiv:
1805.02729
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: