Hamiltonian analysis of non-chiral Plebanski theory and its generalizations
Hamiltonian analysis of non-chiral Plebanski theory and its generalizations
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非手性普列班斯基理论的哈密顿分析及其推广
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
K. Krasnov
中科院分区：
文献类型：
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作者：
S. Alexandrov;K. Krasnov
我们考虑了非手征的、完全基于洛伦兹群的普莱班斯基广义相对论公式，在它的版本中，利用了拉格朗日乘子场Φ的“内部”指数。这一版本的理论的哈密顿分析被证明比以前在文献版本中考虑的更简单，其中Φ携带时空指数。然后，我们将哈密顿分析扩展到一类更一般的理论，其作用包含由Φ构造的标量不变量。这样的理论最近被放在重力与其他力统一的背景下考虑。我们表明，与广义相对论相比，这些更一般的理论有六个额外的传播自由度。在认为它们与GR没有太大区别的文献中，这一点并未得到认可。
We consider the non-chiral, full Lorentz group-based Plebanski formulation of general relativity in its version that utilizes the Lagrange multiplier field Φ with ‘internal’ indices. The Hamiltonian analysis of this version of the theory turns out to be simpler than in the previously considered in the literature version with Φ carrying spacetime indices. We then extend the Hamiltonian analysis to a more general class of theories whose action contains scalar invariants constructed from Φ. Such theories have recently been considered in the context of unification of gravity with other forces. We show that these more general theories have six additional propagating degrees of freedom as compared to general relativity. This has not been appreciated in the literature treating them as being not much different from GR.