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On Gravitational Interaction of Fermions
Author(s) -
Obukhov Yuri N.
Publication year - 2002
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/1521-3978(200205)50:5/7<711::aid-prop711>3.0.co;2-z
Subject(s) - physics , gravitation , fermion , dirac equation , transformation (genetics) , spacetime , theory of relativity , limit (mathematics) , spin (aerodynamics) , dirac (video compression format) , quantum gravity , theoretical physics , quantum , mathematical physics , quantum mechanics , mathematics , mathematical analysis , biochemistry , chemistry , gene , thermodynamics , neutrino
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.