Relativistic bound states in three space-time dimensions in Minkowski space

被引：0

作者：

Gutierrez, C. ^{[1
]}

Gigante, V. ^{[2
]}

Frederico, T. ^{[2
]}

Tomio, Lauro ^{[1
,3
]}

机构：

[1] Univ Estadual Paulista UNESP, Inst Fis Teor, BR-01140070 Sao Paulo, Brazil

[2] ITA, Dept Fis, BR-12228900 Sao Jose Dos Campos, Brazil

[3] Univ Fed ABC, Ctr Ciencias Nat & Humanas, BR-09210580 Santo Andre, Brazil

来源：

XITH CONFERENCE ON QUARK CONFINEMENT AND HADRON SPECTRUM | 2016年 / 1701卷

关键词：

BETHE-SALPETER-EQUATION;

D O I：

10.1063/1.4938716

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

With the aim to derive a workable framework for bound states in Minkowski space, we have investigated the Nakanishi perturbative integral representation of the Bethe-Salpeter (BS) amplitude in two-dimensions (2D) in space and time (2+1). The homogeneous BS amplitude, projected onto the light-front plane, is used to derive an equation for the Nakanishi weight function. The formal development is illustrated in detail and applied to the bound system composed by two scalar particles interacting through the exchange of a massive scalar. The explicit forms of the integral equations are obtained in ladder approximation.

引用

页数：9

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