Casimir Effect In Krein Space Quantization

TL;DR

This paper presents an alternative approach to calculating the Casimir effect using Krein space quantization, which employs auxiliary negative norm states to automatically renormalize the theory without affecting physical states.

Contribution

It introduces a novel quantization method with negative norm states that simplifies Casimir effect calculations and acts as an automatic renormalization mechanism.

Findings

Negative norm states do not interact with physical states.

The method provides an explicit calculation of the Casimir effect.

Negative norm states serve as an automatic renormalization tool.

Abstract

An explicit calculation of Casimir effect through an alternative approach of field quantization [1, 2], has been presented in this paper. In this method, the auxiliary negative norm states have been utilized, the modes of which do not interact with the physical states or real physical world. Naturally these modes cannot be affected by the physical boundary conditions. Presence of negative norm states play the rule of an automatic renormalization device for the theory.