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

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arxiv 1805.02729 v2 pith:QPC5EQJS submitted 2018-05-07 hep-th hep-lathep-ph

John A. Gracey , Thomas A. Ryttov , Robert Shrock This is my paper · ORCID
classification hep-thhep-lathep-ph
keywords anomalousgaugescheme-independentasymptoticallybaryonbeencalculationsdimensions
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

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    hep-lat 2024-12 conditional novelty 6.0 of 10

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    hep-th 2026-07 accept novelty 3.0 of 10

    A review of holographic examples indicating that a light dilaton appears near critical endpoints of first-order zero-temperature phase transitions, with explicit but lower-dimensional demonstrations.

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