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arXiv math-ph/0504011math-phgr-qchep-thmath.MP
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关于伸缩子量子宇宙学的注记

Notes on Dilaton Quantum Cosmology

Gabriel Catren, Claudio Simeone

摘要:

在这些笔记中,我们解决的宇宙模型,出现作为解决方案的低能量有效作用的封闭玻色弦论(介子模型)的正则量子化。分析仅限于量子化的均匀和各向同性的宇宙学解的minisuperspace模型。我们研究了不同的概念和技术问题所产生的哈密顿制定这些模型作为一个后果的存在,所谓的哈密顿约束。特别是,我们解决的问题,在量子宇宙学的时间,时钟反转所产生的哈密顿约束的存在下的对称性的表征,以及在空间上的惠勒-德维特方程的解决方案的边界条件的问题。

英文摘要:

In these notes we address the canonical quantization of the cosmological models which appear as solutions of the low energy effective action of closed bosonic string theory (dilaton models). The analysis is restricted to the quantization of the minisuperspace models given by homogeneous and isotropic cosmological solutions. We study the different conceptual and technical problems arising in the Hamiltonian formulation of these models as a consequence of the presence of the so called Hamiltonian constraint. In particular we address the problem of time in quantum cosmology, the characterization of the symmetry under clock reversls arising from the existence of a Hamiltonian constraint, and the problem of inposing boundary conditions on the space of solutions of the Wheeler-DeWitt equation.

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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