非手征Plebanski理论的Hamilton分析及其推广
Hamiltonian Analysis of non-chiral Plebanski Theory and its Generalizations
摘要：
我们认为非手性，充分洛伦兹集团为基础的普列班斯基制定的广义相对论在其版本中，利用拉格朗日乘子字段Φ与“内部”指数。这个版本的理论的哈密顿分析原来是简单的比以前考虑在文献中的版本与披进行时空指数。然后，我们扩展到更一般的一类理论，其行动包含标量不变量从φ构建的哈密顿分析。这些理论最近在引力与其他力统一的背景下被考虑。我们表明，这些更一般的理论有六个额外的传播自由度相比，广义相对论，一些尚未得到赞赏的文献治疗他们没有太大的不同GR。
英文摘要：
We consider non-chiral, full Lorentz group-based Plebanski formulation of general relativity in its version that utilizes the Lagrange multiplier field Phi 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 Phi carrying spacetime indices. We then extend the Hamiltonian analysis to a more general class of theories whose action contains scalars invariants constructed from Phi. 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, something that has not been appreciated in the literature treating them as being not much different from GR.
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