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UV-finite “old” conformal bootstrap on AdS: scalar case

2019/11/30 by Boris L. Altshuler, B. L. Altshuler · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Geometry #Mathematical analysis #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum electrodynamics #Scalar (mathematics) #Theoretical physics #hep-th

paper · pdf · doi:10.1007/jhep01(2020)137

published in Journal of High Energy Physics 2020(1) (Springer Nature) · 17 pages. Replacement is motivated by the important JHEP referee's critical note: elimination of the UV-divergencies of the bubble used in the paper is not a regularization but is a subtraction of infinities in the double-trace deformation of the bubbles. arXiv admin note: text overlap with arXiv:1908.05471

openalex publication_date 2020/01/21 · arxiv created 2020/01/28 · arxiv updated 2020/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A bstract The double-trace from UV to IR flow subtraction of infinities used earlier for the UV-convergent calculations of the Witten tadpole diagrams being applied to the bubble self-energy diagrams gives for them the amazingly simple expressions in case of the four- dimensional boundary space. For every N = 1 … 4 in the O ( N ) symmetric scalar fields model with the conformal Hubbard-Stratonovich field there are three roots of the “old” conformal bootstrap spectral equations that obey unitarity bound demand.

Citations