One-Loop Radiative Corrections to the QED Casimir Energy

TL;DR

This paper calculates one-loop radiative corrections to the QED Casimir energy between parallel plates, finding that photonic corrections vanish and fermionic corrections are negligible, refining previous approximate results.

Contribution

It provides a detailed calculation of one-loop radiative corrections in QED Casimir energy, including both photonic and fermionic loops, with the photonic correction found to vanish.

Findings

Fermionic loop correction is very minor.

Photonic loop correction vanishes.

Refines previous approximate calculations.

Abstract

In this paper, we investigate one-loop radiative corrections to the Casimir energy in the presence of two perfectly conducting parallel plates for QED theory within the renormalized perturbation theory. In fact, there are three contributions for radiative corrections to the Casimir energy, up to order $\alpha$. Only the two-loop diagram, which is of order $\alpha$, has been computed by Bordag et. al (1985), approximately. Here, up to this order, we consider corrections due to two one-loop terms, i.e., photonic and fermionic loop corrections resulting from renormalized QED Lagrangian, more precisely. Our results show that only the fermionic loop has a very minor correction and the correction of photonic loop vanishes.