One-Loop β Functions of a Translation-Invariant Renormalizable Noncommutative Scalar Model

被引：8

作者：

Ben Geloun, Joseph ^{[1
,2
,3
]}

Tanasa, Adrian ^{[4
,5
]}

机构：

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

[2] Univ Cheikh Anta Diop, Fac Sci & Tech, Dpt Math Informat, Dakar, Senegal

[3] Univ Paris 11, Phys Theor Lab, CNRS, UMR 8627, F-91405 Orsay, France

[4] Inst Fiz Ingn Nucl Horia Hulubei, Dept Fiz Teoret, Bucharest 077125, Romania

[5] Inst Hautes Etud Sci, F-91440 Bures Sur Yvette, France

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2008年 / 86卷 / 01期

关键词：

76F30; 81T75; 46L65; 53D55; noncommutative quantum field theory; renormalization; beta function; 02; 40; Gh; 11; 10; Nx;

D O I：

10.1007/s11005-008-0270-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Recently, a new type of renormalizable φ4*4 scalar model on the Moyal space was proved to be perturbatively renormalizable. It is translation-invariant and introduces in the action a a/(θ 2 p 2) term. We calculate here the β and γ functions at one-loop level for this model. The coupling constant β λ function is proved to have the same behavior as the one of the φ4 model on the commutative ℝ4 . The β a function of the new parameter a is also calculated. Some interpretation of these results are done. © 2008 Springer.

引用

页码：19 / 32

页数：14

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