TY  - JOUR
AU  - Echeverri, Alejandro Castedo
AU  - von Harling, Benedict
AU  - Serone, Marco
TI  - The effective bootstrap
JO  - Journal of high energy physics
VL  - 2016
IS  - 9
SN  - 1029-8479
CY  - Berlin
PB  - Springer
M1  - PUBDB-2016-04671
M1  - DESY-16-100
M1  - arXiv:1606.02771
SP  - 097
PY  - 2016
AB  - We study the numerical bounds obtained using a conformal-bootstrap method — advocated in ref. [1] but never implemented so far — where different points in the plane of conformal cross ratios z and ―z are sampled. In contrast to the most used method based on derivatives evaluated at the symmetric point z = ―z =  1/2, we can consistently “integrate out” higher-dimensional operators and get a reduced simpler, and faster to solve, set of bootstrap equations. We test this “effective” bootstrap by studying the 3D Ising and O(n) vector models and bounds on generic 4D CFTs, for which extensive results are already available in the literature. We also determine the scaling dimensions of certain scalar operators in the O(n) vector models, with n = 2, 3, 4, which have not yet been computed using bootstrap techniques.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000383721900006
DO  - DOI:10.1007/JHEP09(2016)097
UR  - https://bib-pubdb1.desy.de/record/311359
ER  -