UV-finite "old" conformal bootstrap on AdS: scalar case

Abstract

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 $N=\mathrm{1...4}$ 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.

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

References in corpus (4)

• Writing CFT correlation functions as AdS scattering amplitudes
• Spinning AdS Propagators
• Double-Trace Deformations, Mixed Boundary Conditions and Functional Determinants in AdS/CFT
• Double-trace deformations, holography and the c-conjecture

Cited by in corpus (1)

• Spinor vertexes and bubbles in the "old" conformal bootstrap on AdS and FMH problem: Yukawa model