Conformal invariance in the long-range Ising model
By M. Paulos, S. Rychkov, B. C. Rees, Bernardo Zan. 2015
132 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/2c627df1ab86cd932b7f11e3e4362e21b761c2af
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
In Nuclear and High Energy Physics
Citations in the corpus
- A scaling theory for the long-range to short-range crossover and an infrared duality (2017, background): “This is done in detail in [6] and we will not repeat the derivation here.”
- EPFL Lectures on Conformal Field Theory in D ≥ 3 Dimensions (2016, unknown): “For the long-range Ising model see [14].”