Lattice two-point functions and conformal invariance
Malte Henkel, Dragi Karevski
Abstract
A new realization of the conformal algebra is studied which mimics the behaviour of a statistical system on a discrete albeit infinite lattice. The two-point function is found from the requirement that it transforms covariantly under this realization. The result is in agreement with explicit lattice calculations of the (1+1)D Ising model and the d-dimensional spherical model. A hard core is found which is not present in the continuum. For a semi-infinite lattice, profiles are also obtained.
Create a lesson
Related papers
Maximum entropy explanation for the ubiquity of power-law mechanical responses
Sverre Holm
Thermodynamic Bethe Ansatz for the Toda chain from inverse scattering transform
Alberto Brollo
Lattice spin systems coupled to a compact U(1) gauge field with negative gauge coupling favoring frustration
Claudio Bonati, Ettore Vicari
The Inverse Mean First-Passage Time Problem
Tommer D. Keidar, Shlomi Reuveni, Igor M. Sokolov
Restricted triangular ice beyond the solvable manifolds: chiral ice and the critical region of dominant chiral vertices
Josep Batle
Establishing Néel order in the square-lattice antiferromagnetic Heisenberg model: a bootstrap proof
Nisarg Chadha, Taige Wang, Pavel A. Nosov et al.