Analytic Bootstrap for Boundary CFT

Bibliographic Details
Title: Analytic Bootstrap for Boundary CFT
Authors: Bissi, Agnese, Hansen, Tobias, Söderberg, Alexander
Source: JHEP 1901 (2019) 010
Publication Year: 2018
Collection: High Energy Physics - Theory
Subject Terms: High Energy Physics - Theory
More Details: We propose a method to analytically solve the bootstrap equation for two point functions in boundary CFT. We consider the analytic structure of the correlator in Lorentzian signature and in particular the discontinuity of bulk and boundary conformal blocks to extract CFT data. As an application, the correlator $\langle \phi \phi \rangle$ in $\phi^4$ theory at the Wilson-Fisher fixed point is computed to order $\epsilon^2$ in the $\epsilon$ expansion.
Comment: 22 pages, 4 figures, v2: minor improvements, v3: fix a typo
Document Type: Working Paper
DOI: 10.1007/JHEP01(2019)010
Access URL: http://arxiv.org/abs/1808.08155
Accession Number: edsarx.1808.08155
Database: arXiv
More Details
DOI:10.1007/JHEP01(2019)010