Ghost free systems with coexisting bosons and fermions
Ghost free systems with coexisting bosons and fermions
复制标题
玻色子和费米子共存的无幽灵系统
DOI：
10.1103/physrevd.96.044015
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发表时间：
2017
影响因子：
5
通讯作者：
Yamaguchi Masahide
中科院分区：
文献类型：
--
作者：
Kimura Rampei;Sakakihara Yuki;Yamaguchi Masahide
我们研究玻色子和费米子自由度共存的系统。即使拉格朗日量不包含高阶导数，费米子鬼也存在。对于一阶导数的拉格朗日量，我们发现在哈密顿分析中的费米子鬼自由的条件，这被发现是相同的要求费米子的运动方程是一阶拉格朗日制定。当存在费米自由度时，时间演化的唯一性并不因格拉斯曼性质而优先考虑。我们确认，额外的条件，这是引入封闭的哈密顿分析，也确保了系统的时间演化的唯一性。
We study the coexistence system of both bosonic and fermionic degrees of freedom. Even if a Lagrangian does not include higher derivatives, fermionic ghosts exist. For a Lagrangian with up to first derivatives, we find the fermionic ghost free condition in Hamiltonian analysis, which is found to be the same as requiring that the equations of motion of fermions be first order in Lagrangian formulation. When fermionic degrees of freedom are present, the uniqueness of time evolution is not guaranteeda prioribecause of the Grassmann property. We confirm that the additional condition, which is introduced to close Hamiltonian analysis, also ensures the uniqueness of the time evolution of the system.