论文标题
Cubic Horndeski理论的多核形式主义
Multisymplectic Formalism for Cubic Horndeski Theories
论文作者
论文摘要
我们介绍了所谓的Cubic Horndeski理论的协变量形式主义，并讨论了统一的Lagrangian-Hamiltonian方法中发生的约束的几何和物理解释。我们更详细地分析了这些理论的协方差汉密尔顿形式主义，我们表明，对于Lagrangian的Poincaré-Cartan形式，必须满足某些特殊的条件才能将其投影到$ J^1π$上。从这个结果，我们研究了仅使用多重计的公式何时进行。我们进一步讨论了一般情况的含义，其中未满足$ j^1π$条件的投影。
We present the covariant multisymplectic formalism for the so-called cubic Horndeski theories and discuss the geometrical and physical interpretation of the constraints that arise in the unified Lagrangian-Hamiltonian approach. We analyse in more detail the covariant Hamiltonian formalism of these theories and we show that there are particular conditions that must be satisfied for the Poincaré-Cartan form of the Lagrangian to project onto $J^1π$. From this result, we study when a formulation using only multimomenta is possible. We further discuss the implications of the general case, in which the projection onto $J^1π$ conditions are not met.
