MODELING THE QUARK PROPAGATOR

被引：53

作者：

WILLIAMS, AG ^{[1
]}

KREIN, G ^{[1
]}

ROBERTS, CD ^{[1
]}

机构：

[1] ARGONNE NATL LAB,THEORY GRP,ARGONNE,IL 60439

来源：

ANNALS OF PHYSICS | 1991年 / 210卷 / 02期

关键词：

D O I：

10.1016/0003-4916(91)90051-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We are interested in developing covariant, confining, and asymptotically free models of hadrons. With this goal in mind we have carried out a study of dynamical chiral symmetry breaking without imposing the frequently used approximation αs(-(p-k)2) {reversed tilde equals} α5(-p>2), where p>2 ≡ max(p2, k2) for the running coupling constant in the quark Schwinger-Dyson equation. We present numerical results in Landau gauge and compare these with earlier results obtained when using this approximation. We see in this context that a gluon propagator which has the form 1 q4 in the infrared is too singular and must be regulated. We derive a suitably generalized expression for the pion decay constant fπ. With essentially one free parameter we are able to reproduce reasonable results for various physical quantities of interest including fπ, 〈qq〉, and ΛQCD. © 1991.

引用

页码：464 / 485

页数：22

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[11] ANALYTIC PROPERTIES OF THE VERTEX FUNCTION IN GAUGE-THEORIES .1. [J].