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

• Verfasst von: Ayyar, Venkitesh [VerfasserIn]
• Verfasst von: Brower, Richard C. [VerfasserIn]
• Verfasst von: Fleming, George T. [VerfasserIn]
• Verfasst von: Glück, Anna-Maria E. [VerfasserIn]
• Verfasst von: Owen, Evan K. [VerfasserIn]
• Verfasst von: Raben, Timothy G. [VerfasserIn]
• Verfasst von: Tan, Chung-I [VerfasserIn]
• Titel: Operator product expansion for radial lattice quantization of 3D ????4 theory
• Verf.angabe: Venkitesh Ayyar, Richard C. Brower, George T. Fleming, Anna-Maria E. Glück, Evan K. Owen, Timothy G. Raben, and Chung-I Tan
• E-Jahr: 2024
• Jahr: 24 June, 2024
• Umfang: 16 S.
• Illustrationen: Illustrationen
• Fussnoten: Im Text ist "4" hochgestellt ; Gesehen am 22.01.2025
• Titel Quelle: Enthalten in: Physical review
• Ort Quelle: Ridge, NY : American Physical Society, 2016
• Jahr Quelle: 2024
• Band/Heft Quelle: 109(2024), 11, Artikel-ID 114518, Seite 1-16
• ISSN Quelle: 2470-0029
• DOI: doi:10.1103/PhysRevD.109.114518
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1915360617

Abstract

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 ????4 theory on simplicial lattices approaching ℝ ×????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???? and Δ???? as well as ratios of the operator product expansion coefficients ????????⁢????⁢???? and ????????⁢????⁢???? of the first spin-0 and spin-2 primary operators ???? and ???? of the 3D Ising CFT.