Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-01-06
Physics
High Energy Physics
High Energy Physics - Theory
35 pages, ITP-SB-93-86
Scientific paper
We {\em derive} the exact configuration space path integral, together with the way how to evaluate it, from the Hamiltonian approach for any quantum mechanical system in flat spacetime whose Hamiltonian has at most two momentum operators. Starting from a given, covariant or non-covariant, Hamiltonian, we go from the time-discretized path integral to the continuum path integral by introducing Fourier modes. We prove that the limit $N \rightarrow \infty$ for the terms in the perturbation expansion (``Feynman graphs'') exists, by demonstrating that the series involved are uniformly convergent. {\em All} terms in the expansion of the exponent in $
Nieuwenhuizen Patrick van
Skenderis Kostas
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