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arXiv · hep-th/9212130

(D+1)-Dimensional Formulation for D-Dimensional Constrained Systems

R. Mochizuki·K. Yoshida
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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.

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R. Mochizuki, K. Yoshida. 1992-12-22. (D+1)-Dimensional Formulation for D-Dimensional Constrained Systems. https://doi.org/10.1143/ptp%2F88.6.1233

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