Electromagnetic and gravitational interactions of the spinning particle

Journal Article · Fri Sep 15 04:00:00 EDT 2006 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2337847· OSTI ID:20860894

Uenal, Nuri ^[1]

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1. Department of Physics, Akdeniz University, PK. 510 Antalya, 07058 (Turkey)

We consider the invariance of the spinning free particle Lagrangian under the global coordinate transformations for the classical model of the electron with internal degrees of freedom and obtain the conservation of the energy-momentum, total angular momentum, and electric charge. The local gauge transformations give the electromagnetic and gravitational interactions of the spinning particle in the Riemann-Cartan space from the generalized spin connections. We show that the covariant constancy of the Dirac matrices gives; (i) the form invariance of the classical equations of motion, except the gravitational force terms in nongeodesic equation, (ii) the conservation of the electromagnetic current, (iii) the quantum Hamiltonian and equations of motion from the classical ones without the quantum ordering corrections, and (iv) the minimal coupling of the gravitation with the spinning particle in the Hamiltonian and in wave equations in the Riemann-Cartan space-time.

• OSTI ID: 20860894
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 9 Vol. 47; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COORDINATES
CORRECTIONS
DEGREES OF FREEDOM
DIRAC OPERATORS
ELECTRIC CHARGES
ELECTROMAGNETISM
ELECTRONS
EQUATIONS OF MOTION
GAUGE INVARIANCE
GRAVITATION
GRAVITATIONAL INTERACTIONS
HAMILTONIANS
LAGRANGIAN FUNCTION
QUANTUM GRAVITY
SPACE-TIME
SPIN
TRANSFORMATIONS
WAVE EQUATIONS