Krein space quantization in curved and flat spacetimes

Details Krein space quantization in curved and flat spacetimes Krein space quantization in curved and flat spacetimes

2004-11-03

arxiv.org/abs/gr-qc/0411018v1

J.Phys. A38 (2005) 245-256

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Preprint, to be published in Journal of Physics A (http://www.iop.org)

Scientific paper

10.1088/0305-4470/38/1/018

We reexamine in detail a canonical quantization method a la Gupta-Bleuler in which the Fock space is built over a so-called Krein space. This method has already been successfully applied to the massless minimally coupled scalar field in de Sitter spacetime for which it preserves covariance. Here, it is formulated in a more general context. An interesting feature of the theory is that, although the field is obtained by canonical quantization, it is independent of Bogoliubov transformations. Moreover no infinite term appears in the computation of $T^{\mu\nu}$ mean values and the vacuum energy of the free field vanishes: $<0|T^{00}|0>=0$. We also investigate the behaviour of the Krein quantization in Minkowski space for a theory with interaction. We show that one can recover the usual theory with the exception that the vacuum energy of the free theory is zero.

Affiliated with

Also associated with

No associations

Rating

Krein space quantization in curved and flat spacetimes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Krein space quantization in curved and flat spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Krein space quantization in curved and flat spacetimes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-48047