  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.

High Energy Physics - Theory