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 in the 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.
Keywords
Cite
@article{arxiv.1911.00496,
title = {UV-finite "old" conformal bootstrap on AdS: scalar case},
author = {Boris L. Altshuler},
journal= {arXiv preprint arXiv:1911.00496},
year = {2020}
}
Comments
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