CONVEXITY PROPERTY OF THE VARIATIONAL APPROXIMATIONS TO THE EFFECTIVE POTENTIAL

被引：20

作者：

BRANCHINA, V ^{[1
]}

CASTORINA, P ^{[1
]}

ZAPPALA, D ^{[1
]}

机构：

[1] IST NAZL FIS NUCL,CATANIA,ITALY

来源：

PHYSICAL REVIEW D | 1990年 / 41卷 / 06期

关键词：

D O I：

10.1103/PhysRevD.41.1948

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The convexity property of the variational approximations to the effective potential is analyzed both in quantum mechanics and in 4 field theory. A simple calculational scheme, based on the generalization of the Gaussian functionals subspace, allows one to reproduce this fundamental feature of the exact effective potential to a very high degree of accuracy. A criterion to clarify the occurrence of spontaneous symmetry breaking in the presence of a flat effective potential is proposed. © 1990 The American Physical Society.

引用

页码：1948 / 1952

页数：5

共 19 条

[1] FAILURE OF THE NAIVE LOOP EXPANSION FOR THE EFFECTIVE POTENTIAL IN PHI-4 FIELD-THEORY WHEN THERE IS BROKEN SYMMETRY [J].