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arXiv 0807.0225hep-thcond-mat.supr-congr-qc
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作为费米液体的量子引力

Quantum gravity as a Fermi liquid

Stephon H. S. Alexander, Gianluca Calcagni

摘要:

我们提出了一个具有宇宙学常数的圈量子引力的费米液体理论。当拓扑扇区变形和大规范对称性破缺时,我们证明了Chern-Simons态退化为Jacobson简并扇区,描述了具有非局域相互作用的1+1维传播费米子.哈密顿量允许一个对偶描述,我们在超导的简单BCS模型中实现了这一描述。一方面,库珀对被解释为德西特视界上的虫洞关联;它们的数量产生了德西特熵。另一方面,BCS被映射到一个变形的共形场论,再现量子自旋网络的结构。当进行面积测量时,在与给定面积相交的自旋网络的那些边缘上激活库珀对插入,从而提供了根据费米海到超导水平的激发的量子测量的描述。宇宙学常数的问题自然地解决作为一个非微扰的质量间隙效应的真正费米液体真空。

英文摘要:

We present a reformulation of loop quantum gravity with a cosmological constant and no matter as a Fermi-liquid theory. When the topological sector is deformed and large gauge symmetry is broken, we show that the Chern-Simons state reduces to Jacobson's degenerate sector describing 1+1 dimensional propagating fermions with nonlocal interactions. The Hamiltonian admits a dual description which we realize in the simple BCS model of superconductivity. On one hand, Cooper pairs are interpreted as wormhole correlations at the de Sitter horizon; their number yields the de Sitter entropy. On the other hand, BCS is mapped into a deformed conformal field theory reproducing the structure of quantum spin networks. When area measurements are performed, Cooper-pair insertions are activated on those edges of the spin network intersecting the given area, thus providing a description of quantum measurements in terms of excitations of a Fermi sea to superconducting levels. The cosmological constant problem is naturally addressed as a nonperturbative mass-gap effect of the true Fermi-liquid vacuum.

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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