Coherent states for quantum gravity: toward collective variables

被引:16
作者
Oriti, Daniele [1 ]
Pereira, Roberto [1 ,2 ]
Sindoni, Lorenzo [1 ]
机构
[1] Albert Einstein Inst, Max Planck Inst Gravitat Phys, D-14467 Golm, Germany
[2] ICRA CBPF, Inst Cosmol Relatividade Astrofis, Rio De Janeiro, Brazil
关键词
INFINITE TENSOR PRODUCT; CURVED SPACETIME LIMIT; SPIN DYNAMICS; GENERAL-RELATIVITY; GCS; MODELS; QGR; QFT;
D O I
10.1088/0264-9381/29/13/135002
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We investigate the construction of coherent states for quantum theories of connections based on graphs embedded in a spatial manifold, as in loop quantum gravity. We discuss the many subtleties of the construction, mainly related to the diffeomorphism invariance of the theory. Aiming at approximating a continuum geometry in terms of discrete, graph-based data, we focus on coherent states for collective observables characterizing both the intrinsic and extrinsic geometry of the hypersurface, and we argue that one needs to revise accordingly the more local definitions of coherent states considered in the literature so far. In order to clarify the concepts introduced, we work through a concrete example that we hope will be useful in applying coherent state techniques to cosmology.
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页数:25
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