Krein space quantization in curved and flat spacetimes

Abstract

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.

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

References in corpus (5)

• Interacting Quantum Field Theory in de Sitter Vacua
• On the consistency of de Sitter vacua
• de Sitter Vacua, Renormalization and Locality
• A note on alpha-vacua and interacting field theory in de Sitter space
• De Sitter Waves and the Zero Curvature Limit

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