1202.2416 (Farrin Payandeh et al.)

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

Farrin Payandeh, Zahra Gh. Moghaddam, Mohsen Fathi

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.

View original: http://arxiv.org/abs/1202.2416