(D+1)-Dimensional Formulation for D-Dimensional Constrained Systems
High Energy Physics - Theory
2017-02-01 v1
Abstract
D-dimensional constrained systems are studied with stochastic Lagrangian and\break Hamiltonian. It is shown that stochastic consistency conditions are second class constraints and Lagrange multiplier fields can be determined in (D+1)-dimensional canonical formulation. The Langevin equations for the constrained system are obtained as Hamilton's equations of motion where conjugate momenta play a part of noise fields.
Cite
@article{arxiv.hep-th/9212130,
title = {(D+1)-Dimensional Formulation for D-Dimensional Constrained Systems},
author = {R. Mochizuki and K. Yoshida},
journal= {arXiv preprint arXiv:hep-th/9212130},
year = {2017}
}
Comments
10 pages (Plain TeX), CHIBA-EP-58-Rev