Conformal symmetry and composite operators in the O(N)3 tensor field theory

• Verfasst von: Benedetti, Dario [VerfasserIn]
• Verfasst von: Gurǎu, Rǎzvan [VerfasserIn]
• Verfasst von: Suzuki, Kenta [VerfasserIn]
• Titel: Conformal symmetry and composite operators in the O(N)3 tensor field theory
• Verf.angabe: Dario Benedetti, Razvan Gurau and Kenta Suzuki
• E-Jahr: 2020
• Jahr: June 17, 2020
• Umfang: 50 S.
• Fussnoten: Im Titel ist die Zahl "3" hochgestellt ; Gesehen am 07.10.2022
• Titel Quelle: Enthalten in: Journal of high energy physics
• Ort Quelle: Berlin : Springer, 1997
• Jahr Quelle: 2020
• Band/Heft Quelle: (2020), 6, Artikel-ID 113, Seite 1-50
• ISSN Quelle: 1029-8479
• DOI: doi:10.1007/JHEP06(2020)113
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: 1/N Expansion
• Sach-SW: Conformal Field Theory
• Sach-SW: Field Theories in Lower Dimensions
• Sach-SW: Renormalization Group
• K10plus-PPN: 1804436208

Abstract

We continue the study of the bosonic O(N )3 model with quartic interactions and long-range propagator. The symmetry group allows for three distinct invariant ????4 composite operators, known as tetrahedron, pillow and double-trace. As shown in [1, 2], the tetrahedron operator is exactly marginal in the large-N limit and for a purely imaginary tetrahedron coupling a line of real infrared fixed points (parametrized by the absolute value of the tetrahedron coupling) is found for the other two couplings. These fixed points have real critical exponents and a real spectrum of bilinear operators, satisfying unitarity constraints. This raises the question whether at large-N the model is unitary, despite the tetrahedron coupling being imaginary.