arXiv 1102.54402011-02hep-thgr-qchep-phmath-phmath.MP

自发张量场引力

Spontaneously Generated Tensor Field Gravity

J. L. Chkareuli, C. D. Froggatt, H. B. Nielsen

备注：: 27 pages, published version, to appear in Nuclear Physics B
DOI：: 10.1016/j.nuclphysb.2011.03.009

摘要：

考虑Minkowski时空中对称双张量场$H_{μν}$的任意定域理论，其中运动方程必须与非线性定长约束$H_{μν}^{2}=\pm M^{2}$相容，从而导致自发的Lorentz不变性破坏SLIV（$M$是SLIV的标度）.允许调整拉格朗日量中的参数以符合这个约束，这个理论在弱场近似下对应于线性化的广义相对论，而一些通过SLIV出现的无质量张量戈德斯通模自然地收集在物理引力子中。本质上，基本的自同构不变性是张量场$H_{μν}$在自由度上不受多余限制的必要条件，除了SLIV选择理论中的真真空所依据的约束之外。当用纯戈德斯通张量模来表达时，突现理论看起来本质上是非线性的，并且包含了过多的新的洛伦兹和$CPT$违反耦合。然而，一旦这个张量场引力被适当地扩展到传统的广义相对论，这些耦合就不会导致物理上的洛伦兹破坏。

英文摘要：

An arbitrary local theory of a symmetric two-tensor field $H_{μν}$ in Minkowski spacetime is considered, in which the equations of motion are required to be compatible with a nonlinear length-fixing constraint $H_{μν}^{2}=\pm M^{2}$ leading to spontaneous Lorentz invariance violation, SLIV ($M$ is the proposed scale for SLIV). Allowing the parameters in the Lagrangian to be adjusted so as to be consistent with this constraint, the theory turns out to correspond to linearized general relativity in the weak field approximation, while some of the massless tensor Goldstone modes appearing through SLIV are naturally collected in the physical graviton. In essence the underlying diffeomophism invariance emerges as a necessary condition for the tensor field $H_{μν}$ not to be superfluously restricted in degrees of freedom, apart from the constraint due to which the true vacuum in the theory is chosen by SLIV. The emergent theory appears essentially nonlinear, when expressed in terms of the pure Goldstone tensor modes and contains a plethora of new Lorentz and $CPT$ violating couplings. However, these couplings do not lead to physical Lorentz violation once this tensor field gravity is properly extended to conventional general relativity.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文