Renormalizability conditions for almost-commutative geometries

被引：5

作者：

van Suijlekom, Walter D. ^{[1
]}

机构：

[1] Radboud Univ Nijmegen, Inst Math Astrophys & Particle Phys, NL-6525 AJ Nijmegen, Netherlands

来源：

PHYSICS LETTERS B | 2012年 / 711卷 / 05期

关键词：

Noncommutative geometry; Renormalization; STANDARD MODEL; NONCOMMUTATIVE GEOMETRY; SPECTRAL TRIPLES; GRAVITY;

D O I：

10.1016/j.physletb.2012.04.040

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We formulate conditions for almost-commutative (spacetime) manifolds under which the asymptotically expanded spectral action is renormalizable. These conditions are of a graph-theoretical nature, involving the Krajewski diagrams that classify such geometries. This applies in particular to the Standard Model of particle physics, giving a graph-theoretical argument for its renormalizability. A promising potential application is in the selection of physical (renormalizable) field theories described by almost-commutative geometries, thereby going beyond the Standard Model. (c) 2012 Elsevier B.V. All rights reserved.

引用

页码：434 / 438

页数：5

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