Kos, Filip and Poland, David and Simmons-Duffin, David (2014) Bootstrapping the O(N) vector models. Journal of High Energy Physics, 2014 (6). Art. No. 091. ISSN 1029-8479. http://resolver.caltech.edu/CaltechAUTHORS:20170816-085543194
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Abstract
We study the conformal bootstrap for 3D CFTs with O(N ) global symmetry. We obtain rigorous upper bounds on the scaling dimensions of the first O(N ) singlet and symmetric tensor operators appearing in the ϕ_i × ϕ_j OPE, where ϕ_i is a fundamental of O(N). Comparing these bounds to previous determinations of critical exponents in the O(N) vector models, we find strong numerical evidence that the O(N) vector models saturate the bootstrap constraints at all values of N. We also compute general lower bounds on the central charge, giving numerical predictions for the values realized in the O(N) vector models. We compare our predictions to previous computations in the 1/N expansion, finding precise agreement at large values of N.
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| Additional Information: | © 2014 The Author(s). Received: February 6, 2014 Accepted: May 7, 2014 Published: June 16, 2014 We are grateful to Rich Brower, Sheer El-Showk, George Fleming, Liam Fitzpatrick, Jared Kaplan, Miguel Paulos, João Penedones, Slava Rychkov, Leonardo Rastelli, Balt van Rees, Alessandro Vichi, and Sasha Zhiboedov for discussions. We would also like to thank the other organizers and participants in the Back to the Bootstrap 3 conference at CERN. The work of DSD is supported by DOE grant number DE-SC0009988. DSD would like to thank SLAC for hospitality while this work was completed. DP would like to thank the Galileo Galilei Institute for Theoretical Physics and the INFN for hospitality and partial support during the completion of this work. The computations in this paper were run on the Bulldog computing clusters supported by the facilities and staff of the Yale University Faculty of Arts and Sciences High Performance Computing Center, as well as the Aurora computing cluster supported by the School of Natural Sciences Computing Staff at the Institute for Advanced Study. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. | ||||||||||||
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| Subject Keywords: | Conformal and W Symmetry, Global Symmetries | ||||||||||||
| Record Number: | CaltechAUTHORS:20170816-085543194 | ||||||||||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20170816-085543194 | ||||||||||||
| Official Citation: | Kos, F., Poland, D. & Simmons-Duffin, D. J. High Energ. Phys. (2014) 2014: 91. https://doi.org/10.1007/JHEP06(2014)091 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 80468 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Ruth Sustaita | ||||||||||||
| Deposited On: | 16 Aug 2017 22:53 | ||||||||||||
| Last Modified: | 27 Oct 2017 19:55 |
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