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

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

1992-12-22

arxiv.org/abs/hep-th/9212130v1

Prog.Theor.Phys. 88 (1992) 1233-1238

Physics

High Energy Physics

High Energy Physics - Theory

10 pages (Plain TeX), CHIBA-EP-58-Rev

Scientific paper

10.1143/PTP.88.1233

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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