The four-fermion interaction in D = 2, 3, 4: A nonperturbative treatment

被引：6

作者：

Rochev, VE ^{[1
]}

Saponov, PA ^{[1
]}

机构：

[1] Protvino High Energy Phys Inst, Protvino 142284, Moscow Region, Russia

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 1998年 / 13卷 / 21期

关键词：

D O I：

10.1142/S0217751X98001712

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

A new nonperturbative approach is used to investigate the Gross-Neveu model of four-fermion interaction in the space-time dimensions 2, 3 and 4, the number N of inner degrees of freedom being a fixed integer. The spontaneous symmetry breaking is shown to exist in D = 2, 3 and the running coupling constant is calculated. The four-dimensional theory seems to be trivial.

引用

页码：3649 / 3665

页数：17

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