Color Grosse–Wulkenhaar models: one-loop β-functions

被引：0
|
作者：
Joseph Ben Geloun
Vincent Rivasseau
机构：
[1] Université d’Abomey-Calavi,International Chair of Mathematical Physics and Applications, ICMPA
[2] Université Cheikh Anta Diop,UNESCO Chair
[3] Université Paris-Sud X1,Faculté des Sciences et Techniques
来源：
The European Physical Journal C | 2008年 / 58卷
关键词：
02.40.Gh; 11.10.Nx;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The β-functions of O(N) and U(N) invariant Grosse–Wulkenhaar models are computed at one loop using the matrix basis. In particular, for “parallel interactions”, the model is proved to be asymptotically free in the UV limit for N>1, and it has a triviality problem or Landau ghost for N<1. The vanishing β-function is recovered solely at N=1. We discuss various possible consequences of these results.
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页码：115 / 122
页数：7
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