Multiparticle interpolating operators in quantum field theories with cubic symmetry

Detmold, William; Jay, William I.; Kanwar, Gurtej; Shanahan, Phiala E.; Wagman, Michael L.

doi:10.1103/physrevd.109.094516

Title: Multiparticle interpolating operators in quantum field theories with cubic symmetry

Journal Article · 31 May 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.109.094516 · OSTI ID:2369978

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Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); NSF AI Institute for Artificial Intelligence and Fundamental Interactions (IAIFI) (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Univ. of Bern (Switzerland); NSF AI Institute for Artificial Intelligence and Fundamental Interactions (IAIFI) (United States)
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

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.

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); USDOE

Grant/Contract Number:: AC02-07CH11359; SC0011090; SC0023116

OSTI ID:: 2369978

Alternate ID(s):: OSTI ID: 2371647

Report Number(s):: MIT-CTP/5685; FERMILAB-PUB-24-0101-T; arXiv:2403.00672; oai:inspirehep.net:2764013; TRN: US2500266

Journal Information:: Physical Review. D., Vol. 109, Issue 9; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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