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$\pi-\pi$ scattering, QED and finite-volume quantization

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arxiv 2111.04668 v1 pith:CL4QWMEQ submitted 2021-11-08 hep-lat

Norman Christ , Xu Feng , Joseph Karpie , Tuan Nguyen This is my paper · ORCID
classification hep-lat
keywords effectslatticecalculationcoulombfinite-volumeformulationscatteringappears
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Using the Coulomb gauge formulation of QED we present a lattice QCD procedure to calculate the $\pi^+\pi^+$ scattering phase shift including the effects of the Coulomb potential which appears in this formulation. The approach described here incorporates the effects of relativity and avoids finite-volume corrections that vanish as a power of the volume in which the lattice calculation is performed. This is the first step in developing a complete lattice QCD calculation of the electromagnetic and isospin-breaking light-quark mass contributions to $\varepsilon'$, the parameter describing direct CP violating effects in $K_L\to\pi\pi$ decay.

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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. Data-driven trap theory for nuclear scattering

    nucl-th 2025-09 conditional novelty 6.0 of 10

    A data-calibrated quantization condition is proposed to extract nuclear scattering phase shifts from harmonic-trap spectra for neutral and charged particles.

  2. $\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions

    hep-lat 2025-01 conditional novelty 6.0 of 10

    The first PBC continuum extrapolation of the ΔI=1/2 K→ππ amplitude gives Re(ε'/ε)=17.5(6.8)(4.9)(5.0)×10^{-4}, consistent with the experimental 16.6(2.3).

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