Abstract
A complete Path Integral Quantization scheme is outlined starting from the Hamiltonian of a theory ofN-scalar fields with a constraint (φ2−r2)=0. The process generates secondary constraints which allow us to recover the traditional Lagrangian after some functional integrations. A prescription to impose 2nd class constraints which makes use of the Lagrange's multiplier method allows to obtain a class of finite Green's Functions. These Green's functions can be seen to involve only (N−1) independent sources.
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