M.F. Paulos
Conformal invariance in the long-range Ising model
Paulos, M.F.; Rychkov, S.; van Rees, B.C.; Zan, B.
Authors
S. Rychkov
B.C. van Rees
B. Zan
Abstract
We consider the question of conformal invariance of the long-range Ising model at the critical point. The continuum description is given in terms of a nonlocal field theory, and the absence of a stress tensor invalidates all of the standard arguments for the enhancement of scale invariance to conformal invariance. We however show that several correlation functions, computed to second order in the epsilon expansion, are nontrivially consistent with conformal invariance. We proceed to give a proof of conformal invariance to all orders in the epsilon expansion, based on the description of the long-range Ising model as a defect theory in an auxiliary higher-dimensional space. A detailed review of conformal invariance in the d-dimensional short-range Ising model is also included and may be of independent interest.
Citation
Paulos, M., Rychkov, S., van Rees, B., & Zan, B. (2016). Conformal invariance in the long-range Ising model. Nuclear Physics B, 902, 246-291. https://doi.org/10.1016/j.nuclphysb.2015.10.018
Journal Article Type | Article |
---|---|
Acceptance Date | Oct 28, 2015 |
Online Publication Date | Nov 29, 2015 |
Publication Date | Jan 1, 2016 |
Deposit Date | Dec 30, 2015 |
Publicly Available Date | Jan 25, 2016 |
Journal | Nuclear Physics B |
Print ISSN | 0550-3213 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 902 |
Pages | 246-291 |
DOI | https://doi.org/10.1016/j.nuclphysb.2015.10.018 |
Related Public URLs | http://arxiv.org/abs/1509.00008 |
Files
Published Journal Article
(810 Kb)
PDF
Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/
Copyright Statement
© 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license
(http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.
You might also like
Applications of alpha space
(2020)
Journal Article
The S-matrix bootstrap. Part III: higher dimensional amplitudes
(2019)
Journal Article
The S-matrix bootstrap IV: multiple amplitudes
(2019)
Journal Article
Crossing symmetry in alpha space
(2017)
Journal Article
The S-matrix Bootstrap II: Two Dimensional Amplitudes
(2017)
Journal Article
Downloadable Citations
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search