On gravitational interaction of fermions
arXiv:gr-qc/0112080 · doi:10.1002/1521-3978(200205)50:5/7<711::AID-PROP711>3.0.CO;2-Z
Abstract
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.
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
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