(D+1)-Dimensional Formulation for D-Dimensional Constrained Systems
R. Mochizuki, K. Yoshida
Abstract
D-dimensional constrained systems are studied with stochastic Lagrangian and 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.
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