Paulos, M.F. and Rychkov, S. and van Rees, B.C. and Zan, B. (2016) 'Conformal invariance in the long-range Ising model.', Nuclear physics B., 902 . pp. 246-291.
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.
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|Publisher Web site:||http://dx.doi.org/10.1016/j.nuclphysb.2015.10.018|
|Publisher 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.|
|Record Created:||25 Jan 2016 11:20|
|Last Modified:||25 Jan 2016 12:26|
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