Preprint/Report

PUBDB-2016-03328

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

This record in other databases:  

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 $\bar z$ are sampled. In contrast to the most used method based on derivatives evaluated at the symmetric point $z=\bar z =1/2$, 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.

---

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

---

Database coverage:
; Published

---

---

Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Echeverri, A. C. ; von Harling, B. (Corresponding author)DESY* ; Serone, M.
The effective bootstrap
Journal of high energy physics 2016(9), 097 (2016) [10.1007/JHEP09(2016)097]2016     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

---