The sub-leading asymptotic behaviour of area correlations in the Barrett-Crane model

被引：9

作者：

Christensen, J. Daniel ^{[1
]}

Khavkine, Igor ^{[2
]}

Livine, Etera R. ^{[3
]}

Speziale, Simone ^{[4
]}

机构：

[1] Univ Western Ontario, Dept Math, London, ON N6A 5B7, Canada

[2] Univ Utrecht, Inst Theoret Phys, NL-3584 CE Utrecht, Netherlands

[3] ENS, CNRS, UMR 5672, Phys Lab, F-69007 Lyon, France

[4] CNRS, UMR 6207, Ctr Phys Theor, F-13009 Marseille, France

来源：

CLASSICAL AND QUANTUM GRAVITY | 2010年 / 27卷 / 03期

关键词：

SPIN FOAM MODEL; QUANTUM; VERTEX; GRAVITON;

D O I：

10.1088/0264-9381/27/3/035012

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The Barrett-Crane spin foam model for quantum gravity provides an excellent setting for testing analytical and numerical tools used to probe spin foam models. Here, we complete the report on the numerical analysis of the single 4-simplex area correlations begun in (2009 Phys. Lett. B 670 403-6), discussing the next-to-leading order corrections ('one-loop' corrections) with particular attention to their measure dependence, and the difference between the Gaussian and Bessel ansatz for the boundary state.

引用

页数：19

共 17 条

[1] The Barrett-Crane model: asymptotic measure factor
Kaminski, Wojciech
Steinhaus, Sebastian
[J]. CLASSICAL AND QUANTUM GRAVITY, 2014, 31 (07)
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Bonzom, Valentin
Livine, Etera R.
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Jercher, Alexander F.
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[J]. PHYSICAL REVIEW D, 2022, 106 (06)
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[J]. NEW JOURNAL OF PHYSICS, 2011, 13
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[J]. PHYSICAL REVIEW D, 2003, 67 (06)
[8] Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space
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[J]. NUCLEAR PHYSICS B, 2000, 574 (03) : 785 - 806
[9] Gluing 4-simplices: A derivation of the Barrett-Crane spin foam model for Euclidean quantum gravity
Oriti, D
Williams, RM
[J]. PHYSICAL REVIEW D, 2001, 63 (02)
[10] Emergent cosmology from quantum gravity in the Lorentzian Barrett-Crane tensorial group field theory model
Jercher, Alexander F.
Oriti, Daniele
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[J]. JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2022, (01):

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