论文标题
量规固定和限制动力学
Gauge Fixing and Constrained Dynamics
论文作者
论文摘要
我们回顾了狄拉克的形式主义，以处理典型的哈密顿式制定中的约束，并在一般情况下讨论规范理论的规范自由度。我们介绍了狄拉克支架，并表明它提供了一种一致的方法来消除目前的任何规格自由。我们讨论了仪表理论演变的稳定性，并表明固定所有规格自由就足以确保大量规定理论的适应性。电动力学提供了概述通用仪表理论的方法的示例。未来的工作将应用形式主义，并在此得出的结果将其用于一般相对论。
We review the Dirac formalism for dealing with constraints in a canonical Hamiltonian formulation and discuss gauge freedom and display constraints for gauge theories in a general context. We introduce the Dirac bracket and show that it provides a consistent method to remove any gauge freedom present. We discuss stability in evolution of gauge theories and show that fixing all gauge freedom is sufficient to ensure well-posedness for a large class of gauge theories. Electrodynamics provides examples of the methods outlined for general gauge theories. Future work will apply the formalism, and results derived here, to General Relativity.
