Journal
NUCLEAR PHYSICS B
Volume 902, Issue -, Pages 246-291Publisher
ELSEVIER
DOI: 10.1016/j.nuclphysb.2015.10.018
Keywords
-
Categories
Funding
- National Centre of Competence in Research SwissMAP - Swiss National Science Foundation
- European Community [PMF-GA-2013-623606]
Ask authors/readers for more resources
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. (C) 2015 The Authors. Published by Elsevier B.V.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available