Conformally Covariant Vector-Spinor Field in de Sitter Space
High Energy Physics - Theory
2015-02-13 v3
Abstract
In this paper, we study the conformally invariant field equations for vector-spinor field in de Sitter space-time. The solutions are also obtained in terms of the de Sitter-Dirac plane waves. The related two-point functions are calculated in both de Sitter ambient space formalism and intrinsic de Sitter coordinate. In order to study the conformal invariance, Dirac s six-cone formalism is utilized in which the field equations are expressed in a manifestly conformal way in 4 + 2 dimensional conformal space and then followed by the projection to de Sitter space.
Cite
@article{arxiv.1405.7535,
title = {Conformally Covariant Vector-Spinor Field in de Sitter Space},
author = {Negin Fatahi and Mohamad Vahid Takook and Mohamad Reza Tanhayi},
journal= {arXiv preprint arXiv:1405.7535},
year = {2015}
}
Comments
22 pages- paper improved- appendix added- correct the mistakes in writing-references added