A non-perturbative method for the calculation of Green functions

被引：13

作者：

Rochev, VE

机构：

[1] Institute for High Energy Physics

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1997年 / 30卷 / 10期

关键词：

D O I：

10.1088/0305-4470/30/10/037

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new method for the non-perturbative calculation of Green functions in quantum mechanics and quantum field theory is proposed. The method is based on an approximation of the Schwinger-Dyson equation for the generating functional by an exactly soluble equation in functional derivatives. Equations of the leading approximation and the first step ate solved for the phi(d)(4)-model. At d = 1 (anharmonic oscillator) the ground-state energy is calculated. The renormalization programme is performed for the field theory at d = 2, 3. At d = 4 the renormalization of the coupling involves a trivialization of the theory.

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页码：3671 / 3679

页数：9

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