Lifshitz field theories, Snyder noncommutative spacetime and momentum-dependent metric

Author:

Romero Juan M.1,Vergara J. David2

Affiliation:

1. Departamento de Matemáticas Aplicadas y Sistemas, Universidad Autónoma Metropolitana-Cuajimalpa, 05300 México, D.F., México

2. Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A. Postal 70-543, México D.F., México

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Momentum gauge fields from curved momentum space through Kaluza–Klein reduction;Classical and Quantum Gravity;2023-06-06

2. Covariant dynamics on the energy-momentum space: Scalar field theory;Nuclear Physics B;2023-04

3. Riemann–Finsler geometry and Lorentz-violating scalar fields;Physics Letters B;2018-11

4. A Poincaré covariant noncommutative spacetime;International Journal of Geometric Methods in Modern Physics;2018-08-08

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