广义电动力学的降阶与Fadeev-Jackiw形式
Reduction of order and Fadeev-Jackiw formalism in generalized electrodynamics
摘要：
这项工作的目的是讨论在Fadeev Jackiw辛形式主义的背景下，在经典和量子水平的降阶形式主义的一些方面。我们首先回顾辛分析在一个经常的理论（高导数无质量标量理论），既使用Ostrogradsky处方，也通过减少拉格朗日的顺序与辅助字段，显示这两种方法的等价性。自由度的解释进行了详细讨论。最后，我们进行了类似的分析，在一个奇异的高阶导数规范理论（波多尔斯基电动力学），在降阶形式主义：我们声称，这种方法的优势，明确分离的辛结构的模型到麦克斯韦和Proca（鬼）部门，从而补充了理解的自由度的理论和简化涉及矩阵的计算。
英文摘要：
The aim of this work is to discuss some aspects of the reduction of order formalism in the context of the Fadeev-Jackiw symplectic formalism, both at the classical and the quantum level. We start by reviewing the symplectic analysis in a regular theory (a higher derivative massless scalar theory), both using the Ostrogradsky prescription and also by reducing the order of the Lagrangian with an auxiliary field, showing the equivalence of these two approaches. The interpretation of the degrees of freedom is discussed in some detail. Finally, we perform the similar analysis in a singular higher derivative gauge theory (the Podolsky electrodynamics), in the reduced order formalism: we claim that this approach have the advantage of clearly separating the symplectic structure of the model into a Maxwell and a Proca (ghost) sector, thus complementing the understanding of the degrees of freedom of the theory and simplifying calculations involving matrices.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
