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arXiv 1303.3576gr-qchep-th
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从量子引力的群场论形式看宇宙学

Cosmology from Group Field Theory Formalism for Quantum Gravity

Steffen Gielen, Daniele Oriti, Lorenzo Sindoni

摘要:

我们在量子引力的群场论(GFT)方法中确定了一类可以解释为宏观均匀空间几何的凝聚态。然后,我们直接从基本量子GFT动力学中提取这种凝聚态的动力学,遵循普通量子流体中使用的程序。有效动力学是量子宇宙学的非线性和非定域扩展。我们还表明,任何GFT模型与拉普拉斯型的动力学项引起,在半经典(WKB)近似和各向同性的情况下,修改后的弗里德曼方程。这是直接从量子几何的基本理论中提取有效的宇宙动力学的第一个具体的、一般的步骤。

英文摘要:

We identify a class of condensate states in the group field theory (GFT) approach to quantum gravity that can be interpreted as macroscopic homogeneous spatial geometries. We then extract the dynamics of such condensate states directly from the fundamental quantum GFT dynamics, following the procedure used in ordinary quantum fluids. The effective dynamics is a non-linear and non-local extension of quantum cosmology. We also show that any GFT model with a kinetic term of Laplacian type gives rise, in a semi-classical (WKB) approximation and in the isotropic case, to a modified Friedmann equation. This is the first concrete, general procedure for extracting an effective cosmological dynamics directly from a fundamental theory of quantum geometry.

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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