论文标题
高级衍生品Maxwell-Chern-Simon的理论和$ \ Mathcal {pt} - $ symmetry中的幽灵
Ghosts in higher derivative Maxwell-Chern-Simon's theory and $\mathcal{PT}-$symmetry
论文作者
论文摘要
量子场理论中的幽灵领域一直是一个长期存在的问题。具体而言，具有较高衍生物的理论涉及以线性术语形式出现在哈密顿族中的幽灵，这通常被称为Ostrogragradski Ghost。较高的衍生理论可能涉及两种类型的约束，即头等舱和第二类。有趣的是，这些较高的衍生理论可能具有尊重$ \ Mathcal {pt} - $ symmetries的非热汉密尔顿人。在本文中，我们考虑了$ \ Mathcal {pt} - 扩展的Maxwell-Chern-Simon理论的对称性质，并采用了第二类约束来删除导致不稳定性的线性启动术语。我们发现，拆卸不是完整的，而是在操作员$ {q} $的系数中出现的条件。
Ghost fields in quantum field theory have been a long-standing problem. Specifically, theories with higher derivatives involve ghosts that appear in the Hamiltonian in the form of linear momenta term, which is commonly known as the Ostrogradski ghost. Higher derivative theories may involve both types of constraints i.e. first class and second class. Interestingly, these higher derivative theories may have non-Hermitian Hamiltonian respecting $\mathcal{PT}-$symmetries. In this paper, we have considered the $\mathcal{PT}-$symmetric nature of the extended Maxwell-Chern-Simon's theory and employed the second class constraints to remove the linear momenta terms causing the instabilities. We found that the removal is not complete rather conditions arise among the coefficients of the operator ${Q}$.
