T Garidi et al 2005 J. Phys. A: Math. Gen. 38 245 doi:10.1088/0305-4470/38/1/018
Krein space quantization in curved and flat spacetimes
T Garidi1,2, E Huguet2,3 and J Renaud1,2
Show affiliationsWe 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 Tμν mean values and the vacuum energy of the free field vanishes: 
0
T000
= 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.
- PACS
- MSC
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81T20 Quantum field theory on curved space backgrounds
83C47 Methods of quantum field theory (See also 81T20)
46C20 Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.) (See also 47B50)
- Subjects
- Dates
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Issue 1 (7 January 2005)
Received 18 May 2004, in final form 28 October 2004
Published 8 December 2004
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Krein space quantization in curved and flat spacetimes
T Garidi et al 2005 J. Phys. A: Math. Gen. 38 245
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Electrical properties of hexatriacontane single crystal
K Yoshino et al 1979 J. Phys. D: Appl. Phys. 12 1535
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