PARAMETER RESTRICTIONS IN A NONCOMMUTATIVE GEOMETRY MODEL DO NOT SURVIVE STANDARD QUANTUM CORRECTIONS

被引:45
作者
ALVAREZ, E [1 ]
GRACIABONDIA, JM [1 ]
MARTIN, CP [1 ]
机构
[1] UNIV ZARAGOZA,DEPT FIS TEOR,E-50009 ZARAGOZA,SPAIN
关键词
D O I
10.1016/0370-2693(93)91137-C
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We have investigated the standard one-loop quantum corrections for a particularly simple non-commutative geometry model containing fermions interacting with a unique abelian gauge field and a unique scalar through Yukawa couplings. In this model there are certain relations among the different coupling constants quite similar to the ones appearing in the Connes-Lott version of the standard model. We find that it is not possible to implement those relations in a renormalization-group invariant way.
引用
收藏
页码:55 / 58
页数:4
相关论文
共 9 条
[1]  
COLLINS JC, RENORMALIZATION
[2]  
Connes A., 1991, Nuclear Physics B, Proceedings Supplements, V18B, P29, DOI 10.1016/0920-5632(91)90120-4
[3]  
CONNES A, 1992, METRIC ASPECT NONCOM
[4]  
Connes A., 1990, GEOMETRIE NONCOMMUTA
[5]  
Connes A., 1985, PUBL MATH-PARIS, V62, P257, DOI 10.1007/BF02698807
[6]  
COQUEREAUX R, 1992, LECTURES KARPACZ SCH
[7]  
KASTLER D, 1992, CPT2724 MARS PREPR
[8]  
VARILLY JC, 1993, IN PRESS J GEOM PHYS
[9]  
ZIMMERMANN W, 1985, COMMUN MATH PHYS, V97, P142