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Infrared Zero of $\beta$ and Value of $\gamma_m$ for an SU(3) Gauge Theory at the Five-Loop Level

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arxiv 1607.06866 v1 pith:QPC4GDAK submitted 2016-07-23 hep-th

Thomas A. Ryttov , Robert Shrock This is my paper · ORCID
classification hep-th
keywords betafunctionfive-loopvaluezerocalculategammagauge
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We calculate the value of the coupling at the infrared zero of the beta function of an asymptotically free SU(3) gauge theory at the five-loop level as a function of the number of fermions. Both a direct analysis of the beta function and analyses of Pad\'e approximants are used for this purpose. We then calculate the value of the five-loop anomalous dimension, $\gamma_m$, of the fermion bilinear at this IR zero of the beta function.

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Cited by 2 Pith papers

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  1. Meson spectroscopy in the $Sp(4)$ gauge theory with three antisymmetric fermions

    hep-lat 2024-12 conditional novelty 6.0 of 10

    Lattice simulations of Sp(4) with three antisymmetric Dirac fermions find QCD-like confinement and chiral symmetry breaking, and provide a first continuum-extrapolated meson spectrum.

  2. Dilatonic states, phase transitions, and criticality in holography

    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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