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FERMION DYNAMICS BY INTERNAL AND SPACETIME SYMMETRIES

Department of Physics, Polo Scientifico, Università degli Studi di Firenze, INFN, Florence, Via G. Sansone, 1 (50019), Sesto Fiorentino (FI), Italy

ICRA, c/o Department of Physics, "Sapienza" University of Rome, Italy

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ORCHIDEA MARIA LECIAN

ICRA, c/o Department of Physics, "Sapienza" University of Rome, Italy

Department of Physics, "Sapienza" Università di Roma, Piazza A. Moro, 5 (00185), Roma, Italy

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, and

GIOVANNI MONTANI

ICRA, c/o Department of Physics, "Sapienza" University of Rome, Italy

Department of Physics, "Sapienza" Università di Roma, Piazza A. Moro, 5 (00185), Roma, Italy

ENEA, C.R. Frascati (Dep. F.P.N.), Via E. Fermi, 45 (00044), Frascati (RM), Italy

ICRANet, C. C. Pescara, Piazzale della Repubblica, 10 (65100), Pescara, Italy

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https://doi.org/10.1142/S0217732309030199Cited by:4 (Source: Crossref)

Abstract

This paper is devoted to introduce a gauge theory of the Lorentz group based on the ambiguity emerging in dealing with isometric diffeomorphism-induced Lorentz transformations. The behaviors under local transformations of fermion fields and spin connections (assumed to be ordinary world vectors) are analyzed in flat spacetime and the role of the torsion field, within the generalization to curved spacetime, 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.

Keywords:

PACS: 02.04.-k, 11.30.Cp

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