Group Field Theory with Noncommutative Metric Variables

被引：101

作者：

Baratin, Aristide ^{[1
]}

Oriti, Daniele ^{[1
]}

机构：

[1] Albert Einstein Inst, D-14476 Golm, Germany

来源：

PHYSICAL REVIEW LETTERS | 2010年 / 105卷 / 22期

关键词：

QUANTUM-GRAVITY; MODEL;

D O I：

10.1103/PhysRevLett.105.221302

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce a dual formulation of group field theories as a type of noncommutative field theories, making their simplicial geometry manifest. For Ooguri-type models, the Feynman amplitudes are simplicial path integrals for BF theories. We give a new definition of the Barrett-Crane model for gravity by imposing the simplicity constraints directly at the level of the group field theory action.

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页数：4

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