Generalized multiple-scalar field theory in Minkowski space-time free of Ostrogradski ghosts
Generalized multiple-scalar field theory in Minkowski space-time free of Ostrogradski ghosts
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无奥斯特罗格拉茨基鬼影的闵可夫斯基时空中的广义多标量场论
DOI：
10.1103/physrevd.90.104006
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发表时间：
2013
影响因子：
5
通讯作者：
Vishagan Sivanesan
中科院分区：
文献类型：
--
作者：
Vishagan Sivanesan
给出了平坦时空中最一般的无Ostrogradski重标量场理论的证明。我们从假设作用量是标量场及其导数的泛函开始(通常可以有四阶导数的场方程)，得出最一般的场论，它可以被构造成使得场方程的导数阶达到二阶。自然，这个理论包含了平坦时空中所有物理上可行的多标量场论，因为它们不会受到奥斯特罗格拉德斯基不稳定性的影响[10]。
We give a proof of the most general multiple scalar field theory in flat space-time free of Ostrogradski ghosts. We start from the assumption that the action is a functional of the scalar fields and their derivatives of order upto two (which in general can have field equations of derivative order up to four), and arrive at the most-general field theory that can be constructed such that the field equations are of derivative order up to two. Naturally, this theory includes all physically viable multi-scalar field theories in flat space-time, in the sense that they don’t suffer from Ostrogradski instability [10].