On quantization of free fields in stationary space-times |
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Authors: | Carlos Moreno |
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Affiliation: | (1) Physique Mathématique, Collège de France, f. 75231 Paris Cedex 05, France |
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Abstract: | In Section 1 we analyse the structure of the infinite-dimensional Hamiltonian system described by the Klein-Gordon equation (free real scalar field) in stationary space-times with closed space sections; we give an existence and uniqueness theorem for the Lichnerowicz distribution kernelG1 together with its proper Fourier expansion, and we construct the Hilbert spaces of frequency-part solutions defined by means ofG1.In Section 2 an analysis, a theorem and a construction similar to the above are formulated for thefree real field spin 1, massm>0, in one kind of static space-times.In this letter, only results are given. For detailed proofs and further results, see reference [9], [10] and [11]. |
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