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Hybrid static potentials in SU(3) lattice gauge theory at small quark-antiquark separations

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arxiv 2111.00741 v1 pith:V5QN3BBU submitted 2021-11-01 hep-lat

Carolin Schlosser , Marc Wagner This is my paper · ORCID
classification hep-lat
keywords latticehybridpotentialstexttheoryerrorsgaugequark-antiquark
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We compute the $\Pi_u$ and $\Sigma_u^-$ hybrid static potentials in SU(3) lattice gauge theory using four different lattice spacings ranging from $a = 0.040\,\text{fm}$ to $a = 0.093\,\text{fm}$. We provide lattice data points for quark-antiquark separations as small as $0.08\, \text{fm}$, where the $a$-dependent self-energy as well as lattice discretization errors at tree-level of perturbation theory and at leading order in $a^2$ have been removed. We also investigate and exclude possibly present systematic errors from topological freezing, due to the finite spatial lattice volume and from glueball decays. Moreover, we provide corresponding parametrizations of the potentials, which can e.g. be used for Born-Oppenheimer predictions of heavy hybrid mesons.

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Cited by 3 Pith papers

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

  1. Hybrid spin-dependent and hybrid-quarkonium mixing potentials at order $(1 /m_Q)^1$ from SU(3) lattice gauge theory

    hep-lat 2025-01 conditional novelty 7.0 of 10

    First SU(3) lattice computation of the four order-(1/m_Q)^1 hybrid spin-dependent and hybrid-quarkonium mixing potentials at a single lattice spacing.

  2. The spectrum of open confining strings in the large-Nc limit

    hep-lat 2025-06 conditional novelty 6.0 of 10

    The open flux-tube spectrum in SU(Nc) for Nc=3 to 6 shows massive axion-like states whose lightest mass, extrapolated to large Nc, is consistent with the worldsheet axion mass of the closed flux tube.

  3. Computing $1/m_Q$ and $1/m_Q^2$ corrections to the static potential with lattice gauge theory using gradient flow

    hep-lat 2024-11 conditional novelty 6.0 of 10

    Tree-level improvement of flowed Wilson loops reduces lattice and flow-time errors, giving preliminary 1/m_Q and 1/m_Q^2 corrections to the static quark-antiquark potential.

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