Renormalization of noncommutative quantum field theories

被引：0

作者：

de Queiroz, Amilcar R. ^{[1
]}

Srivastava, Rahul ^{[2
]}

Vaidya, Sachindeo ^{[2
]}

机构：

[1] Univ Brasilia, Inst Fis, BR-70919970 Brasilia, DF, Brazil

[2] Indian Inst Sci, Ctr High Energy Phys, Bangalore 560012, Karnataka, India

来源：

PHYSICAL REVIEW D | 2013年 / 87卷 / 06期

关键词：

D O I：

10.1103/PhysRevD.87.064014

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We report on a comprehensive analysis of the renormalization of noncommutative phi(4) scalar field theories on the Groenewold-Moyal plane. These scalar field theories are twisted Poincare invariant. Our main results are that these scalar field theories are renormalizable, free of UV/IR mixing, possess the same fixed points and beta-functions for the couplings as their commutative counterparts. We also argue that similar results hold true for any generic noncommutative field theory with polynomial interactions and involving only pure matter fields. A secondary aim of this work is to provide a comprehensive review of different approaches for the computation of the noncommutative S-matrix: noncommutative interaction picture and noncommutative Lehmann-Symanzik-Zimmermann formalism. DOI: 10.1103/PhysRevD.87.064014

引用

页数：19

共 50 条

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