Results from the 4PI effective action in 2- and 3-dimensions

被引：0

作者：

M. E. Carrington

Wei-Jie Fu

机构：

[1] Brandon University,Department of Physics

[2] Winnipeg Institute for Theoretical Physics,undefined

来源：

The European Physical Journal C | 2013年 / 73卷

关键词：

Effective Action; External Momentum; Momentum Component; Hard Thermal Loop; Renormalization Condition;

D O I：

暂无

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学科分类号：

摘要：

We consider a symmetric scalar theory with quartic coupling and solve the equations of motion from the 4PI effective action in 2- and 3-dimensions using an iterative numerical lattice method. For coupling less than 10 (in dimensionless units) good convergence is obtained in less than 10 iterations. We use lattice size up to 16 in 2-dimensions and 10 in 3-dimensions and demonstrate the convergence of the results with increasing lattice size. The self-consistent solutions for the 2-point and 4-point functions agree well with the perturbative ones when the coupling is small and deviate when the coupling is large.

引用

共 4 条

[1] The 4PI effective action for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\phi^4$\end{document} theory
M. E. Carrington
The European Physical Journal C - Particles and Fields, 2004, 35 (3) : 383 - 392
[2] The holomorphic effective action inN=2D=4 supergauge theories with various gauge groups
I. L. Buchbinder
I. B. Samsonov
Theoretical and Mathematical Physics, 2000, 122 : 371 - 379
[3] Background field formalism and construction of effective action for N = 2, d = 3 supersymmetric gauge theories
I. L. Buchbinder
N. G. Pletnev
I. B. Samsonov
Physics of Particles and Nuclei, 2013, 44 : 234 - 249
[4] 2PI effective action and evolution equations of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal{N} = 4$\end{document} super Yang–Mills
Jelena Smolic
Milena Smolic
The European Physical Journal C, 2012, 72 (8):

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