论Horava理论的一致性
On the consistency of the Horava Theory
摘要:
为了证明Horava理论的理论一致性,我们对一个经典模型进行了哈密顿分析,该模型适合于在大距离上分析其有效动力学。该模型是Horava理论在详细平衡条件下的最低阶截断。我们考虑无物质源的纯引力理论。该模型具有与广义相对论相同的势项,但动力学项通过包含任意的耦合常数λ进行了修改。由于这个常数打破了时空同构下的广义协方差,因此可以相信,任意的λ值都会使模型偏离广义相对论。我们证明了这个模型根本不是一个偏差,而是在一个特定的部分规范固定下完全等价于广义相对论.在此过程中,我们澄清了模型的第二类约束的作用.
英文摘要:
With the goal of giving evidence for the theoretical consistency of the Horava Theory, we perform a Hamiltonian analysis on a classical model suitable for analyzing its effective dynamics at large distances. The model is the lowest-order truncation of the Horava Theory with the detailed-balance condition. We consider the pure gravitational theory without matter sources. The model has the same potential term of general relativity, but the kinetic term is modified by the inclusion of an arbitrary coupling constant lambda. Since this constant breaks the general covariance under space-time diffeomorphisms, it is believed that arbitrary values of lambda deviate the model from general relativity. We show that this model is not a deviation at all, instead it is completely equivalent to general relativity in a particular partial gauge fixing for it. In doing this, we clarify the role of a second-class constraint of the model.
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