Lorentzian Quantum Cosmology from Effective Spin Foams

被引:0
|
作者
Dittrich, Bianca [1 ]
Padua-Arguelles, Jose [1 ,2 ]
机构
[1] Perimeter Inst, 31 Caroline St North, Waterloo, ON N2L 2Y5, Canada
[2] Univ Waterloo, Dept Phys & Astron, 200 Univ Ave West, Waterloo, ON N2L 3G1, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
spin foams; quantum cosmology; quantum gravity; SIMPLICIAL MINISUPERSPACE; DIFFEOMORPHISM SYMMETRY; GRAVITY; AREA; VERTEX;
D O I
10.3390/universe10070296
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Effective spin foams provide the most computationally efficient spin foam models yet and are therefore ideally suited for applications, e.g., to quantum cosmology. Here, we provide the first effective spin foam computations of a finite time evolution step in a Lorentzian quantum de Sitter universe. We will consider a setup that computes the no-boundary wave function and a setup describing the transition between two finite scale factors. A key property of spin foams is that they implement discrete spectra for the areas. We therefore study the effects that are induced by the discrete spectra. To perform these computations, we had to identify a technique to deal with highly oscillating and slowly converging or even diverging sums. Here, we illustrate that high-order Shanks transformation works very well and is a promising tool for the evaluation of Lorentzian (gravitational) path integrals and spin foam sums.
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页数:34
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