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

Journal Article · 24 June 2024 · Physical Review. D.

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

Ayyar, Venkitesh ; Brower, Richard C.; Fleming, George T. ; Glück, Anna-Maria E. ; Owen, Evan K. ; Raben, Timothy G. ; 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 ${\varphi }^4$ theory on simplicial lattices approaching $\mathbb{R}\times S^2$ . Computing the four-point function of identical scalars, we demonstrate the power of radial quantization by the accurate determination of the scaling dimensions ${\mathrm{\Delta }}_{\epsilon }$ and ${\mathrm{\Delta }}_T$ as well as ratios of the operator product expansion coefficients $f_{\sigma \sigma \epsilon }$ and $f_{\sigma \sigma T}$ of the first spin-0 and spin-2 primary operators $\epsilon$ and $T$ of the 3D Ising CFT. Published by the American Physical Society 2024

• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0019061; SC0015845; SC0019139; AC02-07CH11359
• OSTI ID: 2473586
• 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