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Vector particle scattering on the lattice

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arxiv 1802.03458 v2 pith:IS4HHTCZ submitted 2018-02-09 hep-lat hep-ph

Fernando Romero-López , Akaki Rusetsky , Carsten Urbach This is my paper · ORCID
classification hep-lathep-ph
keywords scatteringvectoracquiresappliedbosoncaseconsiderconstruction
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In this work, we present an explicit form of the Luescher equation and consider the construction of the operators in different irreducible representations for the case of scattering of two vector particles. The formalism is applied to scalar QED in the Higgs Phase, where the $U(1)$ gauge boson acquires mass.

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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. Finite-volume quantization condition from the $N/D$ representation

    hep-lat 2024-11 conditional novelty 7.0 of 10

    A finite-volume quantization condition based on the N/D representation is derived and claimed to remain valid when the energy coincides with left-hand cuts, where the original Luescher condition fails.

  2. Lattice calculation of the $\eta_c\eta_c$ and $J/\psi J/\psi$ s-wave scattering length

    hep-lat 2024-11 conditional novelty 6.0 of 10

    A continuum-extrapolated lattice calculation gives a^{0+}_{eta_c eta_c} = -0.104(09) fm and a^{2+}_{J/psi J/psi} = -0.165(16) fm, indicating repulsive interactions.

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