(D+1)-Dimensional Formulation for D-Dimensional Constrained Systems
arXiv:hep-th/9212130 · doi:10.1143/ptp/88.6.1233
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.
10 pages (Plain TeX), CHIBA-EP-58-Rev