Research

1. Field theory and particle physics phenomenology
   In this research line, I have been studying (with different collaborators) physical properties of neutrinos that propagate in a dense medium and high temperature. I have also been interested in the study of preservation of the gauge symmetry and the dynamical properties of fields in a system in and out of equilibrium at high temperature. Recently, in collaboration with Isidro Aranda Fernando Ramírez from FCFM-UMSNH and J. Jesus Toscano from FCFM-BUAP have been getting involved in the Non-commutating standard model. In this research line we have obtained a grant from Conacyt starting from 2010.

2. Lattice theory
   In collaboration with Rafael G. Campos from FCFM-UMSNH have been studying physical properties of fermion on a lattice. To carry out this study, we resort to a new non-local derivative, previously introduced by R. G. Campos in a context of the theory of approximation, which takes into account all the lattice points along a determinate direction. Currently our study is focused on the aliasing effect in fermions on a finite lattice.

3. Chaos and Dynamical Systems
   In collaboration with Gabriel Arroyo and Alberto Mendoza from FCFM-UMSNH and Herolina Guzmán, we have been studying chaos on electric circuits. In particular we are studying certain properties of chaos and synchronization in the Chua's circuit. We are also studying transport properties in cavities and resonators. We plan extend our study to 3-D cavities.

In these research lines we have obtained interesting results which have already been published in specialized journals with high impact factor as well as in proceedings. Most of our main results have been presented in National and International Congresses.