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arXiv 2407.08217gr-qc
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单标量场挠率引力的经典与量子宇宙学描述

A description of classical and quantum cosmology for a single scalar field torsion gravity

Dipankar Laya, Roshni Bhaumik, Sourav Dutta, Subenoy Chakraborty

AI总结:

本文在平坦FLRW时空背景下研究平行暗能量模型的经典与量子宇宙学,利用Noether对称性分析简化拉格朗日量得到经典解,并通过构建可解的Wheeler-DeWitt方程发现经典大爆炸奇点处存在有限非零概率。

摘要:

在均匀各向同性平坦FLRW时空背景下,本文研究了teleparallel dark energy(DE,即平行暗能量)模型的经典与量子宇宙学。通过Noether对称性分析,不仅确定了对称矢量,还确定了拉格朗日量中的耦合函数以及标量场的势。此外,对称性分析识别出拉格朗日量中沿对称矢量方向的循环变量,由此拉格朗日量大幅简化,从而得到经典解。随后在量子宇宙学中构建了Wheeler-DeWitt(WD)方程,与Noether对称性对应的守恒动量的量子形式确定了宇宙波函数的周期部分,进而使Wheeler-DeWitt方程可解。最后,量子描述表明经典大爆炸奇点处存在有限的非零概率。

英文摘要:

In the background of homogeneous and isotropic flat FLRW space-time, both classical and quantum cosmology has been studied for teleparallel dark energy (DE) model. Using Noether symmetry analysis, not only the symmetry vector but also the coupling function in the Lagrangian and the potential of the scalar field has been determined. Also symmetry analysis identifies a cyclic variable in the Lagrangian along the symmetry vector and as a result the Lagrangian simplifies to a great extend so that classical solution is obtained. Subsequently, in quantum cosmology Wheeler-DeWitt(WD) equation has been constructed and the quantum version of the conserved momenta corresponding to Noether symmetry identifies the periodic part of the wave function of the universe and as a result the Wheeler-DeWitt equation becomes solvable. Finally, quantum description shows finite non-zero probability at the classical big-bang singularity.

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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