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Scheme-Independent Series for Anomalous Dimensions of Higher-Spin Operators at an Infrared Fixed Point in a Gauge Theory

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arxiv 2002.08979 v1 pith:TFIF7YCF submitted 2020-02-20 hep-ph hep-lathep-th

Thomas A. Ryttov , Robert Shrock This is my paper · ORCID
classification hep-phhep-lathep-th
keywords fixedgaugeinfraredpointanomalousdeltadimensionsgroup
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abstract

We consider an asymptotically free vectorial gauge theory, with gauge group $G$ and $N_f$ fermions in a representation $R$ of $G$, having an infrared fixed point of the renormalization group. We calculate scheme-independent series expansions for the anomalous dimensions of higher-spin bilinear fermion operators at this infrared fixed point up to $O(\Delta_f^3)$, where $\Delta_f$ is an $N_f$-dependent expansion variable. Our general results are evaluated for several special cases, including the case $G={\rm SU}(N_c)$ with $R$ equal to the fundamental and adjoint representations.

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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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