  Lattice radial quantization was proposed in a recent paper by Brower, Fleming
and Neuberger[1] as a nonperturbative method especially suited to numerically
solve Euclidean conformal field theories. The lessons learned from the lattice
radial quantization of the 3D Ising model on a longitudinal cylinder with 2D
Icosahedral cross-section suggested the need for an improved discretization. We
consider here the use of the Finite Element Methods(FEM) to descretize the
universally-equivalent $\phi^4$ Lagrangian on $\mathbb R \times \mathbb S^2$.
It is argued that this lattice regularization will approach the exact conformal
theory at the Wilson-Fisher fixed point in the continuum. Numerical tests are
underway to support this conjecture.
