Conformal invariance in the long-range Ising model

DOI10.1016/J.NUCLPHYSB.2015.10.018zbMATH Open1332.82017arXiv1509.00008OpenAlexW2122882828MaRDI QIDQ253050

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Publication date: 7 March 2016

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1509.00008

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