Hongler, ClĂ©ment
Smirnov, Stanislav
The Energy Density in the Planar Ising Model
Acta Math.
10.107/s11511-013-0102-1
211
191-225
We study the critical Ising model on the square lattice in bounded simply connected domains with + and free boundary conditions. We relate the energy density of the model to a discrete fermionic spinor and compute its scaling limit by discrete complex analysis methods. As a consequence, we obtain a simple exact formula for the scaling limit of the energy field one- point function in terms of the hyperbolic metric. This confirms the predictions originating in physics, but also provides a higher precision.
2013
http://infoscience.epfl.ch/record/200297/files/The%20energy%20density%20in%20the%20planar%20Ising%20model.pdf;