Speaker
Description
Cardy (1985) pointed out that radial quantization may provide a useful numerical approach to study CFTs compared to traditional finite size scaling techniques. The problem that the cylindrical manifold $R \times S^{d-1}$ is curved for $d > 2$ has been ameliorated -- and perhaps solved -- for renormalizable QFTs by the development of the quantum finite element (QFE) method in recent years. QFE provides a nonperturbative lattice regularization for renormalizable QFT on an arbitrary smooth Riemannian manifold. We present results for the 3D Ising fixed point in real scalar $\phi^4$ theory, focusing on the recovery of isometries in the continuum limit and the extraction of some initial nonperturbative CFT data. We also discuss an alternative approach to extracting conformal scaling dimensions by making connection with the large charge expansion, and an effort to study the $O(N)$ model in radial lattice quantization at finite density.
