Group averaging for de Sitter free fields in terms of hyperspherical functions |
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Authors: | V V Varlamov |
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Institution: | 1.Siberian State Industrial University,Novokuznetsk,Russia |
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Abstract: | We study the convergence of inner products of free fields over the homogeneous spaces of the de Sitter group and show that
the convergence of inner products in the case of N-particle states is defined by the asymptotic behavior of hypergeometric
functions. We calculate the inner product for two-particle states on the four-dimensional hyperboloid in detail. |
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