Theoretical analysis demonstrates an algebraic degenerate kernel method in multichannel bootstrap systems, highlighting symmetric, subtraction-point independent scattering solutions.
A "degenerate kernel" approximation technique is suggested for many-channel bootstrap problems. The approximation method reduces the solution of the matrix ND^-1 integral equations to algebra and is especially suited for problems with complicated self-consistency constraints. It further avoids the substraction-point dependence and lack of symmetry of the conventional "determinantal" approximation to the scattering matrix. The method is applied to the single-channel vector-meson bootstrap problem; the self-consistent solutions are discussed. Finally, it is shown that the scattering matrix obtained from the once substracted matrix ND^-1 integral-equation formalism is both symmetric and independent of the subtraction point.
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Arthur W. Martin (1964) studied this question.
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