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arXiv · 1501.06474

Lifshitz field theories, Snyder noncomutative space-time and momentum dependent metric

Juan M. Romero·J. David Vergara
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Abstract

In this work, 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 space-times, for example the Snyder space-time. In the third case, we combine both structures before mentioned, namely noncommutative space-times and momentum dependent metrics. In this last case, we show that anisotropic field theories can be seen as a limit of noncommutative field theory.

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Juan M. Romero, J. David Vergara. 2015-06-22. Lifshitz field theories, Snyder noncomutative space-time and momentum dependent metric. https://doi.org/10.1142/s0217732315501552

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