A brief review on the Problem of Divergence in Krein Space Quantization

In this paper we have a brief review on the problem of divergence in quantum field theory and its elimination using the method of Krein space quantization. In this method, the auxiliary negative frequency states have been utilized, the modes of which do not interact with the physical states and are...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2012-05
Main Authors: Farrin Payandeh, Moghaddam, Zahra Gh, Fathi, Mohsen
Format: Article
Language:English
Subjects:
Boundary conditions
Divergence
Field theory
Mathematical analysis
Measurement
Quantum electrodynamics
Quantum field theory
Quantum theory
Regularization
Spherical shells
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper we have a brief review on the problem of divergence in quantum field theory and its elimination using the method of Krein space quantization. In this method, the auxiliary negative frequency states have been utilized, the modes of which do not interact with the physical states and are not affected by the physical boundary conditions. It is remarkable that Krein space quantization is similar to Pauli-Villars regularization, so we can call it the "Krein regularization". Considering the QED in Krein space quantization, it could be shown that the theory is automatically regularized. Calculation of the three primitive divergent integrals, the vacuum polarization, electron self energy and vertex function using Krein space method leads to finite values, since the infrared and ultraviolet divergencies do not appear. For another example, the Casimir stress on a spherical shell in de Sitter spacetime for a massless scalar field could be calculated using Krein space quantization.
ISSN:2331-8422
DOI:10.48550/arxiv.1202.2416