Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-06-04
Phys.Lett.B462:249-253,1999
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, no figures, typos corrected, added one reference
Scientific paper
10.1016/S0370-2693(99)00927-2
In this letter we show that the ``preferred'' Klein-Gordon Quantum Field Theories (QFT's) on a d-dimensional de Sitter spacetime can be obtained from a Klein-Gordon QFT on a (d+1)-dimensional ``ambient'' Minkowski spacetime satisfying the spectral condition and, conversely, that a Klein-Gordon QFT on a (d+1)-dimensional ``ambient'' Minkowski spacetime satisfying the spectral condition can be obtained as superposition of d-dimensional de Sitter Klein-Gordon fields in the preferred vacuum. These results establish a correspondence between QFT's living on manifolds having different dimensions. The method exposed here can be applied to study other situations and notably QFT on Anti de Sitter spacetime.
Bertola Marco
Gorini Vittorio
Moschella Ugo
Schaeffer Richard
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