By using the Hamilton–Jacobi [HJ] framework, the higher-order Maxwell–Chern–Simons theory is analyzed. The complete set of HJ Hamiltonians and a generalized HJ differential are reported, from which all symmetries of the theory are identified. In addition, we complete our study by performing the higher-order Gitman–Lyakhovich–Tyutin [GLT] framework and compare the results of both formalisms.

中文翻译：

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高阶 Maxwell-Chern-Simons 规范理论的 Hamilton-Jacobi 分析

通过使用 Hamilton-Jacobi [ HJ ] 框架，分析了高阶 Maxwell-Chern-Simons 理论。报告了完整的HJ哈密​​顿量集和广义HJ微分，从中确定了理论的所有对称性。此外，我们通过执行高阶 Gitman-Lyakhovich-Tyutin [ GLT ] 框架并比较两种形式的结果来完成我们的研究。