Generalized coherent states and quantized fields over de Sitter space

Physics – High Energy Physics – High Energy Physics - Theory

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This paper has been withdrawn since its results now explained in hep-th/0001040 and hep-th/0001069

Scientific paper

10.1007/BF02557217

Using the natural extension of the notion of the generalized coherent states the scalar and spinor ones for the de Sitter group SO(4,1) are constructed. These systems of coherent states obey the de Sitter--invariant Klein-Gordon and Dirac equations and correspond to the massive spin~0 and~1/2 particles over de Sitter space. These coherent states are used for the construction of the invariant scalar and spinor propagators over de Sitter space.

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