Non-Abelian gauge fields as components of gravity in the discretized Kaluza-Klein theory

被引：0

作者：

Nguyen Ai Viet ^{[1
]}

Pham Tien Du ^{[2
]}

机构：

[1] Hanoi Natl Univ, Informat Technol Inst, 144 Xuan Thuy Blvd, Hanoi, Vietnam

[2] Hanoi Natl Univ, Dept Phys, Coll Nat Sci, 334 Nguyen Trai, Hanoi, Vietnam

来源：

MODERN PHYSICS LETTERS A | 2017年 / 32卷 / 18期

关键词：

Discretized Kaluza-Klein theory; non-Abelian gauge theories; extensions of general relativity; noncommutative geometry;

D O I：

10.1142/S021773231750095X

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Discretized Kaluza-Klein theory in M-2 x Z(2) spacetime can be constructed based on the concepts of noncommutative geometry. In this paper, we show that it is possible to incorporate the non-Abelian gauge fields in this framework. The generalized Hilbert-Einstein action is gauge invariant only in two cases. In the first case, the gauge group must be Abelian on one sheet of spacetime and non-Abelian on the other one. In the second case, the gauge group must be the same on two sheets of spacetime. Actually, the theories of electroweak and strong interactions can fit into these two cases.

引用

页数：9

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