On gravitational interaction of fermions
摘要
We discuss some aspects of the gravitational interaction of the relativistic quantum particles with spin 1/2. The exact Foldy-Wouthuysen transformation is constructed for the Dirac particle coupled to the static spacetime metric. The quasi-relativistic limit of the theory is then analyzed. Using the analogous method, we obtain the exact Cini-Touschek transformation and discuss the ultra-relativistic limit of the fermion theory. We show that the Foldy-Wouthuysen transformation is not uniquely defined, and the corresponding ambiguity is deeply rooted in the relativistic quantum theory.
引用
@article{arxiv.gr-qc/0112080,
title = {On gravitational interaction of fermions},
author = {Yuri N. Obukhov},
journal= {arXiv preprint arXiv:gr-qc/0112080},
year = {2015}
}
备注
Latex (buckow.sty), 6 pages; Invited talk presented at the Symposium on the Centennial of Werner Heisenberg: Works And Impact, Bamberg, Germany, 26-30 September 2001