论文标题

doi-peliti和响应场形式上的粒子实体

Particle Entity in the Doi-Peliti and Response Field Formalisms

论文作者

Bothe, Marius, Cocconi, Luca, Zhen, Zigan, Pruessner, Gunnar

论文摘要

我们介绍了一个测试点粒子实体理论的程序,也就是说,该理论是否考虑了系统成分的离散性质。然后,我们确定了粒子实体在两个场理论框架的上下文中实现的机制,旨在结合自由度的粒子性质,即doi-peliti场理论和源自院长方程的响应场理论。尽管doi-peliti场理论在非常基本的层面上编码粒子性质,但易于揭示,但迪恩方程的证明也更多地参与其中,并导致许多令人惊讶的图形身份。我们得出这些并讨论它们的含义。这些结果在主动物质的背景下尤其相关,其令人惊讶的和通常的违反直觉现象学完全取决于代理的粒子性质及其作为颗粒的自由度。

We introduce a procedure to test a theory for point particle entity, that is, whether said theory takes into account the discrete nature of the constituents of the system. We then identify the mechanism whereby particle entity is enforced in the context of two field-theoretic frameworks designed to incorporate the particle nature of the degrees of freedom, namely the Doi-Peliti field theory and the response field theory that derives from Dean's equation. While the Doi-Peliti field theory encodes the particle nature at a very fundamental level that is easily revealed, demonstrating the same for Dean's equation is more involved and results in a number of surprising diagrammatic identities. We derive those and discuss their implications. These results are particularly pertinent in the context of active matter, whose surprising and often counterintuitive phenomenology rests wholly on the particle nature of the agents and their degrees of freedom as particles.

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