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arXiv 1003.3010hep-thastro-ph.COgr-qc
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关于半经典引力与宇宙学常数问题

On Semi-classical Degravitation and the Cosmological Constant Problems

Subodh P. Patil

摘要:

在这份报告中,我们讨论了一个候选机制,通过它可以解决各种宇宙学常数的问题。我们首先观察到引力耦合的重整化(通过整合各种物质场引起的)表现出对爱因斯坦方程的非局部修改,作为量子校正的运动方程。也就是说,在回路层面上,物质源通过引力耦合弯曲,这是协变达朗伯的非局部函数。如果由此产生的牛顿“常数”的函数形式是这样的,它消灭了非常长的波长源,但减少到$1/M^2_{pl}$($M_{pl}$是4d普朗克质量)的所有来源与宇宙学可观察的波长,我们将有一个互补的实现退化范式-实现,通过它的非线性完成和相应的修改Bianchi身份很容易理解。我们继续考虑各种理论,其耦合到重力可能先验诱导非平凡的重整化的牛顿常数在IR中,并到达一类非本地有效的行动,产生一个适当的degravitating过滤函数牛顿常数后,随后被整合出来。我们激励这类非本地理论通过几个方面的考虑,讨论开放的问题,未来的发展方向,不可避免的问题,方案依赖于半经典引力计算和评论连接与其他沉思在文献中放松的宇宙学常数半经典。

英文摘要:

In this report, we discuss a candidate mechanism through which one might address the various cosmological constant problems. We first observe that the renormalization of gravitational couplings (induced by integrating out various matter fields) manifests non-local modifications to Einstein's equations as quantum corrected equations of motion. That is, at the loop level, matter sources curvature through a gravitational coupling that is a non-local function of the covariant d'Alembertian. If the functional form of the resulting Newton's `constant' is such that it annihilates very long wavelength sources, but reduces to $1/M^2_{pl}$ ($M_{pl}$ being the 4d Planck mass) for all sources with cosmologically observable wavelengths, we would have a complimentary realization of the degravitation paradigm-- a realization through which its non-linear completion and the corresponding modified Bianchi identities are readily understood. We proceed to consider various theories whose coupling to gravity may a priori induce non-trivial renormalizations of Newton's constant in the IR, and arrive at a class of non-local effective actions which yield a suitably degravitating filter function for Newton's constant upon subsequently being integrated out. We motivate this class of non-local theories through several considerations, discuss open issues, future directions, the inevitable question of scheme dependence in semi-classical gravitational calculations and comment on connections with other meditations in the literature on relaxing of the cosmological constant semi-classically.

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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