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Direct solution of Minkowski-space Bethe-Salpeter equation in the massive Wick-Cutkosky model by Jia, Shaoyang is a scholarly article available to read on EtoBox.

What is Direct solution of Minkowski-space Bethe-Salpeter equation in the massive Wick-Cutkosky model about?

In order to solve the Bethe-Salpeter equation (BSE) in the Minkowski space, we first introduce the Nakanishi integral representations of the Bethe-Salpeter amplitude (BSA) and the Bethe-Salpeter wave function (BSWF). We then derive the explicit integral equations for the corresponding spectral functions from the BSE for states of $2$ scalar particles bound by a scalar-particle exchange interaction, where the propagators of constituents are allowed to be fully dressed. These integral equations are subsequently solved numerically in the variation of the Wick-Cutkosky model with massive exchange particles, where an algorithm of adaptive mash grid is proposed. The equations and algorithm we develop here serve as the foundation of Minkowski-space formulation of BSE for bound states of fermions.

Author

Jia, Shaoyang

Published

2023

Language

EN