The essence of the path integral method in quantum physics can be expressed in terms of two relations between unitary propagators, describing perturbations of the underlying system. They inherit the causal structure of the theory and its invariance properties under variations of the action. These relations determine a dynamical algebra of bounded operators which encodes all properties of the corresponding quantum theory. This novel approach is applied to non-relativistic particles, where quantum mechanics emerges from it. The method works also in interacting quantum field theories and sheds new light on the foundations of quantum physics.

中文翻译：

---

从路径积分到动力学代数：量子物理学的宏观视角

量子物理学中路径积分方法的本质可以用幺正传播子之间的两种关系来表达，描述底层系统的扰动。它们继承了理论的因果结构及其在动作变化下的不变性。这些关系决定了一个有界算子的动态代数，它编码了相应量子理论的所有属性。这种新颖的方法适用于非相对论粒子，量子力学从中出现。该方法也适用于相互作用的量子场论，并为量子物理学的基础提供了新的思路。