English

Generalized coherent states and quantized fields over de Sitter space

High Energy Physics - Theory 2009-10-31 v2

Abstract

Using the natural extension of the notion of the generalized coherent states the scalar and spinor ones for the de Sitter group SO(4,1) are constructed. These systems of coherent states obey the de Sitter--invariant Klein-Gordon and Dirac equations and correspond to the massive spin~0 and~1/2 particles over de Sitter space. These coherent states are used for the construction of the invariant scalar and spinor propagators over de Sitter space.

Keywords

Cite

@article{arxiv.hep-th/9903263,
  title  = {Generalized coherent states and quantized fields over de Sitter space},
  author = {Semyon Pol'shin},
  journal= {arXiv preprint arXiv:hep-th/9903263},
  year   = {2009}
}

Comments

This paper has been withdrawn since its results now explained in hep-th/0001040 and hep-th/0001069