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Multiparticle interpolating operators in quantum field theories with cubic symmetry

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 multiparticle interpolating operators for quantum field theories with...

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Bibliographic Details
Published in:Physical review. D 2024-05, Vol.109 (9), Article 094516
Main Authors: Detmold, William, Jay, William I., Kanwar, Gurtej, Shanahan, Phiala E., Wagman, Michael L.
Format: Article
Language:English
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Summary: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 multiparticle 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 nonzero spin.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.109.094516