Lattice Radial Quantization: 3D Ising

TL;DR

This paper introduces lattice radial quantization as a nonperturbative numerical approach for Euclidean conformal field theories, demonstrated on the 3D Ising model with preliminary results for critical exponents.

Contribution

It presents a novel lattice radial quantization method for studying conformal field theories, applied here to the 3D Ising model with initial estimates of critical parameters.

Findings

Preliminary estimate of eta=0.034(10) for the 3D Ising model

Demonstration of lattice radial quantization as a viable nonperturbative approach

Use of a cylindrical lattice with 2D icosahedral cross-section

Abstract

Lattice radial quantization is introduced as a nonperturbative method intended to numerically solve Euclidean conformal field theories that can be realized as fixed points of known Lagrangians. As an example, we employ a lattice shaped as a cylinder with a 2D Icosahedral cross-section to discretize dilatations in the 3D Ising model. Using this method, we obtain the preliminary estimate eta=0.034(10).