>>13688312>Can you get good, accurate numerical results from lattice QFT if you keep the mesh size small but still finiteIt depends, but beyond toy models you typically have huge error bars. The reason is that the Monte Carlo simulations are numerically extremely costly, so simply speaking you have to decide if you want to have small lattice constant but finite volume effects or large volume but finite lattice effects.
>without having to do renormalization tricksOn a lattice, quantities will also depend on the lattice spacing, so you'll encounter renormalization also on the lattice (but you do not need to worry about formally infinite quantities, because the lattice provides a momentum cutoff, i.e., a regularization). The difficult task is to check whether observable quantities as a function of the lattice constant converge as .
