A General Form of the Constraints in the Path Integral Formula

Details A General Form of the Constraints in the Path Integral Formula A General Form of the Constraints in the Path Integral Formula

1995-05-26

arxiv.org/abs/hep-th/9505165v1

Prog.Theor.Phys. 95 (1996) 421-431

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTex

Scientific paper

10.1143/PTP.95.421

A form of the constraints, specifying a $D$-dimensional manifold embedded in $D+1$ dimensional Euclidean space, is discussed in the path integral formula given by a time discretization. Although the mid-point prescription is privileged in the sphere $S^D$ case, it is more involved in generic cases. An interpretation on the validity of the formula is put in terms of the operator formalism. Operators from this path integral formula are also discussed.

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