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Group averaging for de Sitter free fields in terms of hyperspherical functions

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 نشر من قبل Vadim Varlamov
 تاريخ النشر 2010
  مجال البحث فيزياء
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 تأليف V. V. Varlamov




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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 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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