Bosonic colored group field theory

被引：44

作者：

Ben Geloun, Joseph ^{[1
,3
,4
]}

Magnen, Jacques ^{[2
]}

Rivasseau, Vincent ^{[1
]}

机构：

[1] Univ Paris 11, Phys Theor Lab, F-91405 Orsay, France

[2] Ecole Polytech, Ctr Phys Theor, F-91128 Palaiseau, France

[3] Univ Abomey Calavi, Int Chair Math Phys & Applicat ICMPA UNESCO Chair, Cotonou, Benin

[4] Univ Cheikh Anta Diop, Fac Sci & Tech, Dept Math & Informat, Dakar, Senegal

来源：

EUROPEAN PHYSICAL JOURNAL C | 2010年 / 70卷 / 04期

关键词：

Vertex Operator; Colored Model; Internal Vertex; Power Counting; Feynman Graph;

D O I：

10.1140/epjc/s10052-010-1487-z

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Bosonic colored group field theory is considered. Focusing first on dimension four, namely the colored Ooguri group field model, the main properties of Feynman graphs are studied. This leads to a theorem on optimal perturbative bounds of Feynman amplitudes in the "ultraspin" (large spin) limit. The results are generalized in any dimension. Finally, integrating out two colors we write a new representation, which could be useful for the constructive analysis of this type of models.

引用

页码：1119 / 1130

页数：12

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