Radial Quantization for Conformal Field Theories on the Lattice

Abstract

We consider radial quantization for conformal quantum field theory with a lattice regulator. A Euclidean field theory on ${\mathbb{R}}^D$ is mapped to a cylindrical manifold, $\mathbb{R}\times {\mathbb{S}}^{D-1}$, whose length is logarithmic in scale separation. To test the approach, we apply this to the 3D Ising model and compute $\eta$ for the first $Z_2$ odd primary operator.

7 pages, 4 figures