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arXiv 1002.4275gr-qchep-th
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具有德西特对称性的引力规范理论解决宇宙学常数问题和暗能量之谜

Gauge Theory of Gravity with de Sitter Symmetry as a Solution to the Cosmological Constant Problem and the Dark Energy Puzzle

Pisin Chen

摘要:

我们提出了一个解决长期存在的宇宙学常数(CC)的问题,这是基于两个现有的概念融合。第一种观点认为,经典引力效应的恰当描述是引力的规范理论,在这种理论中,联系而不是度规作为动力学变量。由此产生的场方程不包含CC项。这消除了CC和量子真空能量之间的联系,因此解决了{ \it old} CC问题,即为什么量子真空能量不受引力作用。在这种方法中的CC-等效来自于当将场方程简化为爱因斯坦方程时的积分常数。第二个假设是宇宙服从德西特对称性,以观测到的加速膨胀作为其表现。我们结合这些想法,并确定常数的积分与平方反比的曲率半径的德西特空间。因此,暗能量(DE)的起源与固有的时空几何有关,DE的微小性受到对称性的保护。这解决了{ \it new} CC问题或DE难题。然而,这种方法面临着来自量子考虑的重大挑战。这些是与高阶引力理论和德西特时空的量子不稳定性相关的幽灵问题。我们讨论了可能的补救措施。

英文摘要:

We propose a solution to the longstanding cosmological constant (CC) problem which is based on the fusion of two existing concepts. The first is the suggestion that the proper description of classical gravitational effects is the gauge theory of gravity in which the connection instead of the metric acts as the dynamical variable. The resulting field equation does not then contain the CC term. This removes the connection between the CC and the quantum vacuum energy, and therefore addresses the {\it old} CC problem of why quantum vacuum energy does not gravitate. The CC-equivalent in this approach arises from the constant of integration when reducing the field equation to the Einstein equation. The second is the assumption that the universe obeys de Sitter symmetry, with the observed accelerating expansion as its manifestation. We combine these ideas and identify the constant of integration with the inverse-square of the radius of curvature of the de Sitter space. The origin of dark energy (DE) is therefore associated with the inherent spacetime geometry, with the smallness of DE protected by symmetry. This addresses the {\it new} CC problem, or the DE puzzle. This approach, however, faces major challenges from quantum considerations. These are the ghost problem associated with higher order gravity theories and the quantum instability of the de Sitter spacetime. We discuss their possible remedies.

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。

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