Direct solution of Minkowski-space Bethe-Salpeter equation in the massive Wick-Cutkosky model

被引：1

作者：

Jia, Shaoyang ^{[1
]}

机构：

[1] Argonne Natl Lab, Phys Div, 9700 South Cass Ave, Lemont, IL 60439 USA

来源：

PHYSICAL REVIEW D | 2024年 / 109卷 / 03期

关键词：

RENORMALIZABLE ELECTRODYNAMICS; SCALAR THEORIES;

D O I：

10.1103/PhysRevD.109.036020

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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 and the Bethe-Salpeter wave function. We then derive the explicit integral equations for the corresponding spectral functions from the BSE for states of two 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-s pace formulation of BSE for bound states of fermions.

引用

页数：11

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