Simulation of euclidean quantum field theories by a random walk process

Ion Olimpiu Stamatescu; Ulli Wolff; Daniel Zwanziger

doi:10.1016/0550-3213(83)90417-0

Simulation of euclidean quantum field theories by a random walk process

Ion Olimpiu Stamatescu, Ulli Wolff, Daniel Zwanziger

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	377-390
Number of pages	14
Journal	Nuclear Physics, Section B
Volume	225
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(83)90417-0
State	Published - Nov 28 1983

ASJC Scopus subject areas

Nuclear and High Energy Physics

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AU - Zwanziger, Daniel

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