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arXiv 1012.0113hep-th
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宇宙学奇点与自由弦:II

Null cosmological singularities and free strings: II

K. Narayan

摘要:

在arXiv:0909.4731 [hep-th]中,我们论证了如果Kasner指数满足一定的关系,则自由弦光锥薛定谔波泛函在零Kasner类宇宙学奇点附近具有非奇异的时间依赖性。这些背景是具有奇异性的各向异性平面波。我们首先在这里表明,只有某些奇点承认罗森-卡斯纳框架的指数满足关系导致非奇异的时间依赖性的波泛函。然后,我们建立在(罗森)的描述进一步研究各种物理可观的时间相关的谐振子玩具模型,然后自由弦,调和这与相应的描述在传统的平面波变量。我们发现,不含时间导数的观测量在这些变量中是相同的,而含时间导数的观测量是不同的。各种自由弦观测值仍然是发散的,也许与弦振子状态在奇点附近变轻是一致的。

英文摘要:

In arXiv:0909.4731 [hep-th], we argued that the free string lightcone Schrodinger wavefunctional in the vicinity of null Kasner-like cosmological singularities has nonsingular time-dependence if the Kasner exponents satisfy certain relations. These backgrounds are anisotropic plane waves with singularities. We first show here that only certain singularities admit a Rosen-Kasner frame with exponents satisfying relations leading to a wavefunctional with nonsingular time-dependence. Then we build on the (Rosen) description further and study various physical observables for a time-dependent harmonic oscillator toy model and then the free string, reconciling this with the corresponding description in the conventional plane wave variables. We find that observables containing no time derivatives are identical in these variables while those with time derivatives are different. Various free string observables are still divergent, perhaps consistent with string oscillator states becoming light in the vicinity of the 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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