Lifshitz field theories, Snyder noncommutative spacetime and momentum-dependent metric
2015 ◽
Vol 30
(29)
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pp. 1550155
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Keyword(s):
In this paper, we propose three different modified relativistic particles. In the first case, we propose a particle with metrics depending on the momenta and we show that the quantum version of these systems includes different field theories, as Lifshitz field theories. As a second case, we propose a particle that implies a modified symplectic structure and we show that the quantum version of this system gives different noncommutative spacetimes, for example the Snyder spacetime. In the third case, we combine both structures before mentioned, namely noncommutative spacetimes and momentum-dependent metrics. In this last case, we show that anisotropic field theories can be seen as a limit of noncommutative field theory.
2008 ◽
Vol 23
(14n15)
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pp. 2277-2278
2012 ◽
Vol 13
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pp. 54-65
2019 ◽
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2019 ◽
Keyword(s):
2020 ◽
Vol 2020
(6)
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2009 ◽
Vol 2009
(06)
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pp. 013-013
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Keyword(s):
1992 ◽
Vol 07
(28)
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pp. 7119-7134
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2013 ◽
Vol 28
(04)
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pp. 1250239
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2004 ◽
Vol 19
(12)
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pp. 1837-1861
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