论文标题

非线性Sigma模型的重新归一化组方法中的变分问题和背景字段

The Variational Problem and Background Field in the Renormalization Group Method for Non-Linear Sigma Models

论文作者

Goswami, Abhishek

论文摘要

我们研究了Balaban在其重新规范化组方法中描述的变异问题,以$ d = 3、4 $中的Yang-Mills理论,并将其改编成$ d = 2 $的一类非线性Sigma模型。变异问题的结果是最小的配置,可以用作重新归一化组分析中的经典背景字段。

We study the variational problem as described by Balaban in his renormalization group method for Yang-Mills theories in $d= 3, 4$ and adapt it to a class of Non-Linear Sigma Models in $d=2$. The result of the variational problem is a minimal configuration which can serve as a classical background field in the renormalization group analysis.

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