Direct Evaluation of Path Integrals

Abstract

Every time τ _n is assigned a point y _n . We now connect the individual points with a classical path y(τ). y(τ) is not necessarily the (on-shell trajectory) extremum of the classical action. It can be any path between τ _n and τ _n−1 specified by the classical Lagrangian $L(y,\dot{y},t).$