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Validity of various approximations for the Bethe-Salpeter equation and their WKB quantization

Abstract : The validity of the instantaneous approximation for the Bethe-Salpeter equation is questioned within the framework of the simple scalar-scalar model of Cutkosky. Detailed numerous results for various approximations are compared to the exact ones. WKB quantization is applied to these relativistic approximations. An unexpected question arises: is the currently used Bethe-Salpeter equation (i.e., the ladder approximation) well suited to describe two interacting relativistic particles?
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http://hal.in2p3.fr/in2p3-00007098
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Submitted on : Thursday, November 30, 2000 - 4:32:23 PM
Last modification on : Thursday, November 19, 2020 - 12:58:27 PM

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B. Silvestre-Brac, A. Bilal, C. Gignoux, P. Schuck. Validity of various approximations for the Bethe-Salpeter equation and their WKB quantization. Physical Review D, American Physical Society, 1984, 29, pp.2275-2281. ⟨10.1103/PhysRevD.29.2275⟩. ⟨in2p3-00007098⟩

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