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Conformal invariance in the long-range Ising model

Paulos, M.F.; Rychkov, S.; van Rees, B.C.; Zan, B.

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Authors

M.F. Paulos

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 Mar 29, 2024
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

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