A new vacuum for loop quantum gravity

被引：53

作者：

Dittrich, Bianca ^{[1
]}

Geiller, Marc ^{[2
,3
]}

机构：

[1] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada

[2] Penn State Univ, Inst Gravitat, University Pk, PA 16802 USA

[3] Penn State Univ, Cosmos & Phys Dept, University Pk, PA 16802 USA

来源：

CLASSICAL AND QUANTUM GRAVITY | 2015年 / 32卷 / 11期

关键词：

loop quantum gravity; spin foams; vacuum; SPIN DYNAMICS QSD; GAUGE-THEORIES; FOAM MODELS; REPRESENTATIONS; ALGEBRAS; STATES;

D O I：

10.1088/0264-9381/32/11/112001

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We construct a new vacuum and representation for loop quantum gravity. Because the new vacuum is based on BF theory, it is physical for (2+1)-dimensional gravity, and much closer to the spirit of spin foam quantization in general. To construct this new vacuum and the associated representation of quantum observables, we introduce a modified holonomy-flux algebra that is cylindrically consistent with respect to the notion of refinement by time evolution suggested in Dittrich and Steinhaus (2013 arXiv: 1311.7565). This supports the proposal for a construction of the physical vacuum made in Dittrich and Steinhaus (2013 arXiv: 1311.7565) and Dittrich (2012 New J. Phys. 14 123004), and for (3+1)-dimensional gravity. We expect that the vacuum introduced here will facilitate the extraction of large scale physics and cosmological predictions from loop quantum gravity.

引用

页数：13

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