Journal Article

PUBDB-2016-04671

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png The effective bootstrap

Echeverri, A. C. ; von Harling, B. (Corresponding author)DESY* ; Serone, M.

2016
Springer Berlin

This record in other databases:      

Please use a persistent id in citations: doi:10.1007/JHEP09(2016)097

Report No.: DESY-16-100; arXiv:1606.02771

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.

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)
2. DAMESYFLA - Electroweak Symmetry Breaking, Flavor and DarkMatter: One Solution for Three Mysteries (267985) (267985)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2016

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Database coverage:
; ; ; ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; IF >= 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint/Report Echeverri, A. C. ; von Harling, B. (Corresponding author)DESY* ; Serone, M.
The Effective Bootstrap
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