Renormalization and Hopf algebraic structure of the five-dimensional quartic tensor field theory

被引：7
|
作者：
Avohou, Remi C. [1 ]
Rivasseau, Vincent [2 ,3 ]
Tanasa, Adrian [4 ,5 ]
机构：
[1] ICMPA UNESCO Chair, Int Chair Math Phys & Applicat, Cotonou 072B P50, Benin
[2] Univ Paris 11, CNRS UMR 8627, Lab Phys Theor, F-91405 Orsay, France
[3] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada
[4] Univ Paris 13, Sorbonne Paris Cite, CNRS UMR 7030, LIPN, F-93430 Villetaneuse, France
[5] Horia Hulubei Natl Inst Phys & Nucl Engn, Magurele 077125, Romania
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2015年 / 48卷 / 48期
关键词：
combinatories of the Dyson-Schwinger equation; beta functions; renormalization; 1/N EXPANSION; BETA-FUNCTION; MODELS; GRAVITY;
D O I：
10.1088/1751-8113/48/48/485204
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper is devoted to the study of renormalization of the quartic melonic tensor model in dimension (=rank) five. We review the perturbative renormalization and the computation of the one loop beta function, confirming the asymptotic freedom of the model. We then define the Connes-Kreimer-like Hopf algebra describing the combinatories of the renormalization of this model and we analyze in detail, at one-and two-loop levels, the Hochschild cohomology allowing to write the combinatorial Dyson-Schwinger equations. Feynman tensor graph Hopf subalgebras are also exhibited.
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页数：20
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