English

On anti-de Sitter oscillators and de Sitter anti-oscillators

General Relativity and Quantum Cosmology 2014-10-07 v2 Quantum Physics

Abstract

We revisit the principal arguments for interpreting the free quantum fields on anti-de Sitter or de Sitter spacetimes of any dimensions as oscillators or respectively anti-oscillators. In addition, we point out that there exists a chart on the de Sitter background where the free Dirac field becomes a genuine anti-oscillator in the non-relativistic limit in the sense of special relativity.

Keywords

Cite

@article{arxiv.1408.0468,
  title  = {On anti-de Sitter oscillators and de Sitter anti-oscillators},
  author = {Ion I. Cotaescu},
  journal= {arXiv preprint arXiv:1408.0468},
  year   = {2014}
}

Comments

7 pages, no figures