Abstract
A series arising in a multireggeon description of scattering processes in Yang Mills theory, is considered. It is shown that after suitable transformation of integrands, it can be treated as a matrix element of a simple series of integral operators. This series resembles Neuman series and can be summed by [0/1] Pade Approximant. Direct solution of the integral equation leading to the series is however numerically difficult and unstable. The direct method is compared against the variational method of the calculation of matrix elements of OPA.
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Reference
E.A. Kurayev, L.N. Lipatov, V.S. Fadin, “Pomeranchuk singularity in nonabelian gauge theories”, (in Russian) JETP 22 (1977), 377–389 see also: P. Raczka, R. Raczka, “On the rising cross section and the new approach to high energy hadron-hadron scattering”, preprint ISAS 98/86/EP
J. Fleischer, M. Pindor, “Evaluation of operator Pade approximants for perturbative expansions in scattering theory”, Physical Review 24 (1981), 1978–1986
M. Pindor, G. Turchetti, “Pade approximants and Variational Series for Operator Series”, Il Nuovo Cimento 71A (1982), 171–186
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© 1988 D. Reidel Publishing Company
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Pindor, M. (1988). An Application of Operator Pade Approximants to Multireggeon Processes. In: Cuyt, A. (eds) Nonlinear Numerical Methods and Rational Approximation. Mathematics and Its Applications, vol 43. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2901-2_25
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DOI: https://doi.org/10.1007/978-94-009-2901-2_25
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7807-8
Online ISBN: 978-94-009-2901-2
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