# Krein space quantization in curved and flat spacetimes

3 APC - THEORIE
APC (UMR_7164) - AstroParticule et Cosmologie, Institut für theoretische Physik
Abstract : We re-examine in detail a canonical quantization method à 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 $T^{\muν}$ mean values and the vacuum energy of the free field vanishes: $\left\langle0\mid T^{00}\mid0\right\rangle$ = 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.
Document type :
Journal articles
Domain :

http://hal.in2p3.fr/in2p3-00025325
Contributor : Simone Lantz <>
Submitted on : Monday, January 9, 2006 - 10:57:26 AM
Last modification on : Saturday, September 19, 2020 - 4:55:03 AM

### Citation

T. Garidi, E. Huguet, J. Renaud. Krein space quantization in curved and flat spacetimes. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2005, 38, pp.245-256. ⟨10.1088/0305-4470/38/1/018⟩. ⟨in2p3-00025325⟩

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