# A new perspective on functional integration

@article{Cartier1995ANP, title={A new perspective on functional integration}, author={Pierre Cartier and Cecile DeWitt-Morette}, journal={Journal of Mathematical Physics}, year={1995}, volume={36}, pages={2237-2312} }

The core of this article is a general theorem with a large number of specializations. Given a manifold N and a finite number of one‐parameter groups of point transformations on N with generators Y,X(1),...,X(d), we obtain, via functional integration over spaces of pointed paths on N (paths with one fixed point), a one‐parameter group of functional operators acting on tensor or spinor fields on N. The generator of this group is a quadratic form in the Lie derivatives LX(α) in the X(α)‐direction…

## 62 Citations

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