On gravitational interaction of fermions

Details On gravitational interaction of fermions On gravitational interaction of fermions

2001-12-31

arxiv.org/abs/gr-qc/0112080v1

Fortsch.Phys. 50 (2002) 711-716

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex (buckow.sty), 6 pages; Invited talk presented at the Symposium on the Centennial of Werner Heisenberg: Works And Impact,

Scientific paper

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.

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