An Efficient Method for the Solution of Schwinger鈥揇yson Equations for Propagators
| 详细信息 | 推荐本文 | |
- 作者：Marc P. Bellon
- 关键词：Renormalization ; Schwinger– ; Dyson equation ; Borel summation
- 刊名：Letters in Mathematical Physics
- 出版时间：October 2010
- 出版年：2010
- 期刊代码：33_03779017
- 类别：cp
- 卷：94
- 期：1
- 页码：77-86
- 数据来源：sp
摘要
Efficient computation methods are devised for the perturbative solution of Schwinger–Dyson equations for propagators. I show how a simple computation allows to obtain the dominant contribution in the sum of many parts of previous computations. This allows for an easy study of the asymptotic behavior of the perturbative series. In the cases of the four-dimensional supersymmetric Wess–Zumino model and the f63{\phi_6^3} complex scalar field, the singularities of the Borel transform for both positive and negative values of the parameter are obtained and compared.