Multi-particle interpolating operators in quantum field theories with cubic symmetry
Abstract
Numerical studies of lattice quantum field theories are conducted in finite spatial volumes, typically with cubic symmetry in the spatial coordinates. Motivated by these studies, this work presents a general algorithm to construct multi-particle interpolating operators for quantum field theories with cubic symmetry. The algorithm automates the block diagonalization required to combine multiple operators of definite linear momentum into irreducible representations of the appropriate little group. Examples are given for distinguishable and indistinguishable particles including cases with both zero and non-zero spin. An implementation of the algorithm is publicly available at https://github.com/latticeqcdtools/mhi.
Keywords
Cite
@article{arxiv.2403.00672,
title = {Multi-particle interpolating operators in quantum field theories with cubic symmetry},
author = {William Detmold and William I. Jay and Gurtej Kanwar and Phiala E. Shanahan and Michael L. Wagman},
journal= {arXiv preprint arXiv:2403.00672},
year = {2024}
}
Comments
27 pages. An implementation of the algorithm is publicly available at https://github.com/latticeqcdtools/mhi