Standing wave vs Green's function approach to the Casimir force problem

TL;DR

This paper compares the standing wave and Green's function methods for calculating the Casimir force, analyzing the temperature effects on the force with a focus on perfectly reflecting mirrors.

Contribution

It provides a comparative analysis of two approaches to the Casimir force and discusses the impact of temperature on the force using Green's function techniques.

Findings

Green's function approach effectively captures temperature effects

Standing wave and Green's function methods are complementary

Temperature increases the Casimir force under certain conditions

Abstract

After a short recall of our previous standing wave approach to the Casimir force problem, we consider Lifshitz's temperature Green's function method and its virtues from a physical point of view. Using his formula, specialized for perfectly reflecting mirrors, we present a quantitative discussion of the temperature effect on the attractive force.