Gravity and nonabelian gauge fields in noncommutative space-time

Noncommutative geometric construction of gravity in the two sheeted spacetime can be viewed as a discretized version of a Kaluza-Klein theory. In this paper, we show that it is possible to incorporate the nonabelian gauge fields in the same framework. The generalized Hilbert-Einstein action is gauge...

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Main Author: Nguyen Ai Viet, Pham Tien Du
Format: Book Book chapter Dataset
Published: Physics Letters B Journal 2016
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Online Access:http://repository.vnu.edu.vn/handle/VNU_123/11185
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Institution: Vietnam National University, Hanoi
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spelling oai:112.137.131.14:VNU_123-111852017-04-05T14:08:54Z Gravity and nonabelian gauge fields in noncommutative space-time Nguyen Ai Viet, Pham Tien Du gauge theories, gravity, Higgs field, noncommutative geometry Noncommutative geometric construction of gravity in the two sheeted spacetime can be viewed as a discretized version of a Kaluza-Klein theory. In this paper, we show that it is possible to incorporate the nonabelian gauge fields in the same 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 nonabelian 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 are exactly these two cases 2016-05-27T15:50:39Z 2016-05-27T15:50:39Z 2015 Book Book chapter Dataset http://repository.vnu.edu.vn/handle/VNU_123/11185 application/pdf Physics Letters B Journal
institution Vietnam National University, Hanoi
building VNU Library & Information Center
country Vietnam
collection VNU Digital Repository
topic gauge theories, gravity, Higgs field, noncommutative geometry
spellingShingle gauge theories, gravity, Higgs field, noncommutative geometry
Nguyen Ai Viet, Pham Tien Du
Gravity and nonabelian gauge fields in noncommutative space-time
description Noncommutative geometric construction of gravity in the two sheeted spacetime can be viewed as a discretized version of a Kaluza-Klein theory. In this paper, we show that it is possible to incorporate the nonabelian gauge fields in the same 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 nonabelian 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 are exactly these two cases
format Book
Book chapter
Dataset
author Nguyen Ai Viet, Pham Tien Du
author_facet Nguyen Ai Viet, Pham Tien Du
author_sort Nguyen Ai Viet, Pham Tien Du
title Gravity and nonabelian gauge fields in noncommutative space-time
title_short Gravity and nonabelian gauge fields in noncommutative space-time
title_full Gravity and nonabelian gauge fields in noncommutative space-time
title_fullStr Gravity and nonabelian gauge fields in noncommutative space-time
title_full_unstemmed Gravity and nonabelian gauge fields in noncommutative space-time
title_sort gravity and nonabelian gauge fields in noncommutative space-time
publisher Physics Letters B Journal
publishDate 2016
url http://repository.vnu.edu.vn/handle/VNU_123/11185
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