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arXiv · gr-qc/0112080

On gravitational interaction of fermions

Yuri N. Obukhov
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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.

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Yuri N. Obukhov. 2001-12-31. On gravitational interaction of fermions. https://doi.org/10.1002/1521-3978(200205)50%3A5%2F7%3C711%3A%3Aaid-prop711%3E3.0.co%3B2-z

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