Noncommutative space-time and quantum field

Authors

  • W. F. Chagas Filho Departamento de Física, Universidade Federal de Sergipe
  • G. M. A. Almeida Departamento de Física, Universidade Federal de Sergipe

Keywords:

quantized area, Snyder space-time, massless particle.

Abstract

In Einstein´s theory of gravitation, the concept of force is replaced by the concept of geometry. Then, we may expect that the quantum theory naturally lead us to the quantization of some geometric quantities like, for example, the quantization of an area. Recently, it was demonstrated that in non-commutative Snyder space, the area of the sphere is quantized. In this paper, we show how we can induce the Snyder space-time appearance in massless relativistic particle theory which is the most simple gravitation theory as possible.

Author Biography

W. F. Chagas Filho, Departamento de Física, Universidade Federal de Sergipe


How to Cite

Chagas Filho, W. F., & Almeida, G. M. A. (2011). Noncommutative space-time and quantum field. Scientia Plena, 4(11). Retrieved from https://scientiaplena.org.br/sp/article/view/720