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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2005

Krein space quantization in curved and flat spacetimes

Résumé

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.

Dates et versions

in2p3-00025325 , version 1 (09-01-2006)

Identifiants

Citer

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