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@ARTICLE{Echeverri:311359,
author = {Echeverri, Alejandro Castedo and von Harling, Benedict and
Serone, Marco},
title = {{T}he effective bootstrap},
journal = {Journal of high energy physics},
volume = {2016},
number = {9},
issn = {1029-8479},
address = {Berlin},
publisher = {Springer},
reportid = {PUBDB-2016-04671, DESY-16-100. arXiv:1606.02771},
pages = {097},
year = {2016},
abstract = {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 $\overline{z}$ are
sampled. In contrast to the most used method based on
derivatives evaluated at the symmetric point $z =
\overline{z} =$ 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.},
cin = {T},
ddc = {530},
cid = {I:(DE-H253)T-20120731},
pnm = {611 - Fundamental Particles and Forces (POF3-611) /
DAMESYFLA - Electroweak Symmetry Breaking, Flavor and
DarkMatter: One Solution for Three Mysteries (267985)},
pid = {G:(DE-HGF)POF3-611 / G:(EU-Grant)267985},
experiment = {EXP:(DE-MLZ)NOSPEC-20140101},
typ = {PUB:(DE-HGF)16},
UT = {WOS:000383721900006},
eprint = {1606.02771},
howpublished = {arXiv:1606.02771},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:1606.02771;\%\%$},
doi = {10.1007/JHEP09(2016)097},
url = {https://bib-pubdb1.desy.de/record/311359},
}