A new Monte Carlo method for euclidean lattice field theory is introduced by writing the Boltzmann distribution e-s as a solution of a diffusion type equation and constructing the associated random walk process. It is practically tested for a quantum mechanical model and a non-compact version of lattice QCD. It is explained where the main interest in this algorithm lies: the diffusion process coming from an action that can be generalized to include non-conservative forces. This possibility is exploited in our QCD version to implement gauge fixing without Faddeev-Popov ghosts.
ASJC Scopus subject areas
- Nuclear and High Energy Physics