Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-03-24
Mod. Phys. Lett. A 24, 415 (2009)
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages, no figure
Scientific paper
10.1142/S0217732309030199
This manuscript is devoted to introduce a gauge theory of the Lorentz Group based on the ambiguity emerging in dealing with isometric diffeo-morphism-induced Lorentz transformations. The behaviors under local transformations of fermion fields and spin connections (assumed to be ordinary world vectors) are analyzed in flat space-time and the role of the torsion field, within the generalization to curved space-time, is briefly discussed. The fermion dynamics is then analyzed including the new gauge fields and assuming time-gauge. Stationary solutions of the problem are also analyzed in the non-relativistic limit, to study the spinor structure of an hydrogen-like atom.
Carlevaro Nakia
Lecian Orchidea Maria
Montani Giovanni
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