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Running coupling in SU(2) gauge theory with two adjoint fermions

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arxiv 1510.03335 v2 pith:WGP3COII submitted 2015-10-12 hep-lat

classification hep-lat
keywords couplinggaugeadjointdiscretizationeffectsfermionsfixedlesssim
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We study SU(2) gauge theory with two Dirac fermions in the adjoint representation of the gauge group on the lattice. Using clover improved Wilson fermion action with hypercubic truncated stout smearing we perform simulations at larger coupling than earlier. We measure the evolution of the coupling constant using the step scaling method with Schr\"odinger functional and study the remaining discretization effects. At weak coupling we observe significant discretization effects, which make it difficult to obtain a fully controlled continuum limit. Nevertheless, the data remains consistent with the existence of a fixed point in the interval $2.2\lesssim g^{\ast 2}\lesssim 3$. We also measure the anomalous dimension and find its value at the fixed point is $\gamma^\ast\simeq 0.2\pm 0.03$.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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. Safety versus triviality on the lattice

    hep-lat 2019-08 conditional novelty 6.0 of 10

    For SU(2) with 24 and 48 Dirac flavors, the lattice gradient-flow coupling matches the perturbative two-loop running at accessible scales and refuses to grow large, which is compatible with a Landau pole but does not ...

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