Operator product expansion for radial lattice quantization of 3D ϕ 4 theory

Ayyar, Venkitesh; Brower, Richard C.; Fleming, George T.; Glück, Anna-Maria E.; Owen, Evan K.; Raben, Timothy G.; Tan, Chung-I

doi:10.1103/PhysRevD.109.114518

Operator product expansion for radial lattice quantization of 3D $ϕ^{4}$ theory

Journal Article · Mon Jun 24 00:00:00 EDT 2024 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.109.114518· OSTI ID:2473586

; Brower, Richard C.; ; ; ; ; Tan, Chung-I

At its critical point, the three-dimensional lattice Ising model is described by a conformal field theory (CFT), the 3D Ising CFT. Instead of carrying out simulations on Euclidean lattices, we use the quantum finite elements method to implement radially quantized critical $ϕ^{4}$ theory on simplicial lattices approaching $R \times S^{2}$ . Computing the four-point function of identical scalars, we demonstrate the power of radial quantization by the accurate determination of the scaling dimensions $Δ_{ε}$ and $Δ_{T}$ as well as ratios of the operator product expansion coefficients $f_{σ σ ε}$ and $f_{σ σ T}$ of the first spin-0 and spin-2 primary operators $ε$ and $T$ of the 3D Ising CFT.

Published by the American Physical Society 2024

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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)

Grant/Contract Number:: AC02-07CH11359; SC0015845; SC0019061; SC0019139

OSTI ID:: 2473586

Alternate ID(s):: OSTI ID: 2217214

Report Number(s):: FERMILAB-PUB--23-631-T; arXiv:2311.01100; 114518

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 11 Vol. 109; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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