Optimized Rayleigh-Schrodinger expansion of the effective potential

被引:4
作者
Lu, WF [1 ]
Kim, CK
Nahm, K
机构
[1] Yonsei Univ, Inst Phys & Appl Phys, Seoul 120749, South Korea
[2] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China
[3] Seoul Natl Univ, Ctr Strongly Correlated Mat Res, Seoul 151742, South Korea
[4] Yonsei Univ, Dept Phys, Wonju, South Korea
基金
中国国家自然科学基金;
关键词
effective potential; functional Schrodinger equation; Rayleigh-Schrodinger expansion; variational perturbation approach; non-perturbative quantum field theory;
D O I
10.1016/S0370-2693(02)02140-8
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
An optimized Rayleigh-Schrodinger expansion scheme of solving the functional Schrodinger equation with an external source is proposed to calculate the effective potential beyond the Gaussian approximation, For a scalar field theory whose potential function has a Fourier representation in a sense of tempered distributions, we obtain the effective potential up to the second order, and show that the first-order result is just the Gaussian effective potential. Its application to the lambdaphi(4) field theory yields the same post-Gaussian effective potential as obtained in the functional integral formalism. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:309 / 318
页数:10
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