TY - JOUR
T1 - Simulation of euclidean quantum field theories by a random walk process
AU - Stamatescu, Ion Olimpiu
AU - Wolff, Ulli
AU - Zwanziger, Daniel
N1 - Funding Information:
* Presented at the Trieste Workshop on non-perturbative QCD, Dec. 1982. 1 Present address: CERN, CH-1211 Geneva 23, Switzerland. 2 Address after Sept. lst: New York University, 4 Washington Place, New York, NY 10003, USA. 3 Permanent address: New York University, New York, USA. 4 This research was supported in part by National Science Foundation grant no. PHY-8116102.
PY - 1983/11/28
Y1 - 1983/11/28
N2 - 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.
AB - 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.
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U2 - 10.1016/0550-3213(83)90417-0
DO - 10.1016/0550-3213(83)90417-0
M3 - Article
AN - SCOPUS:0002347263
SN - 0550-3213
VL - 225
SP - 377
EP - 390
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 3
ER -