论文标题
通过典型的二等系统改进了量规格的形式主义
Improved Gauge-Unfixing Formalism through a Prototypical Second-Class System
论文作者
论文摘要
我们将改进的量规未固定（GU）形式化与相当通用的型二等系统中的形式相关化，获得了相应的一流等效描述，享受了可以应用于多种情况的量规不变性。选择原型系统以代表现场理论中相当多的相关模型。通过考虑GU形式主义的改进版本，我们表明可以根据相位空间的特定变形获得任何规格不变的函数，因此从过程中不需要辅助变量就受益。这样，由此产生的转换的头等系统是由相同的原始规范变量构建的，从而保留了自由度的数量。我们用应用于非线性Sigma模型的应用说明了该技术。
We contextualize the improved gauge-unfixing (GU) formalism within a rather general prototypical second-class system, obtaining a corresponding first-class equivalent description enjoying gauge invariance which can be applied to several situations. The prototypical system is chosen to represent a considerable class of relevant models in field theory. By considering the improved version of the GU formalism, we show that any gauge-invariant function can be obtained in terms of a specific deformation in phase space, benefiting thus from the fact that no auxiliary variables are needed in the process. In this way, the resulting converted first-class system is constructed out of the same original canonical variables, preserving the number of degrees of freedom. We illustrate the technique with an application to the nonlinear sigma model.
