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Construction of general N-body lattice operators with arbitrary momenta

2025/07/21 by Haobo Yan, Yan, Haobo, Chuan Liu +5 · 2 citations
Mathematics · #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2507.16070

openalex publication_date 2025/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We present a systematic method for constructing lattice QCD operators for systems of an arbitrary number of particles with arbitrary momentum, spin, and internal quantum numbers. Explicit constructions are provided for one-, two-, three-, and four-hadron operators, covering all irreducible representations of the relevant lattice symmetry groups in both rest and moving frames. The construction procedure has been implemented in the open-source package OpTion (Operator construcTion), available at https://github.com/wittscien/OpTion. The paper and the package are designed to serve as a practical and extensible dictionary for future lattice QCD studies, as lattice calculations advance towards increasingly complex hadronic systems.

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