Casimir effect from a scattering approach

TL;DR

This paper advocates using a scattering approach within one-dimensional quantum field theory to analyze the Casimir effect, providing a clear, divergence-free method suitable for educational and research purposes.

Contribution

It introduces a scattering approach framework for the Casimir effect that simplifies calculations and connects to standard quantum scattering problems, enhancing pedagogical and research applications.

Findings

Avoids divergences in vacuum energy calculations

Connects Casimir effect to standard scattering theory

Facilitates teaching and research in quantum field theory

Abstract

The Casimir force is a spectacular consequence of the existence of vacuum fluctuations and thus deserves a place in courses on quantum theory. We argue that the scattering approach within a one-dimensional field theory is well suited to discuss the Casimir effect. It avoids in a transparent way divergences appearing in the evaluation of the vacuum energy. Furthermore, the scattering approach connects in a natural manner to the standard discussion of one-dimensional scattering problems in a quantum theory course. Finally, it allows to introduce students to the methods employed in the current research literature to determine the Casimir force in real-world systems.