arXiv 1002.34362010-02gr-qchep-thmath-phmath.MP

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

V. V. Varlamov

备注：: 10 pages
发表信息：: Theor. Math. Phys. 164(3): 1230-1236 (2010)
DOI：: 10.1007/s11232-010-0105-4

英文摘要：

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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