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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Physics Letters B Journal
2016
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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 |
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gauge theories, gravity, Higgs field, noncommutative geometry |
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gauge theories, gravity, Higgs field, noncommutative geometry Nguyen Ai Viet, Pham Tien Du Gravity and nonabelian gauge fields in noncommutative space-time |
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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 |
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Book Book chapter Dataset |
author |
Nguyen Ai Viet, Pham Tien Du |
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Nguyen Ai Viet, Pham Tien Du |
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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 |
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Physics Letters B Journal |
publishDate |
2016 |
url |
http://repository.vnu.edu.vn/handle/VNU_123/11185 |
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1680966671582363648 |