Least-action principle and path-integral for classical mechanics

TL;DR

This paper demonstrates deriving classical mechanics equations using a superfield approach within a path-integral framework, bypassing the traditional least-action principle.

Contribution

It introduces a novel derivation method for classical equations of motion using superfields and path integrals, avoiding the least-action principle.

Findings

Superfield equations of motion derived without least-action principle

Path-integral approach applied to classical mechanics

New perspective on classical dynamics formulation

Abstract

In this paper we show how the equations of motion of a superfield, which makes its appearance in a path-integral approach to classical mechanics, can be derived without the need of the least-action principle