Dirac equations in curved space-time versus Papapetrou spinning particles

Abstract

We find out classical particles, starting from Dirac quantum fields on a curved space-time, by an eikonal approximation and a localization hypothesis for amplitudes. We recover the results by Mathisson-Papapetrou, hence establishing a fundamental correspondence between the coupling of classical and quantum spinning particles with the gravitational field.

6 pages, 1 figure, accepted for publication in Europhysics Letters

References in corpus (7)

• Semiclassical limit for Dirac particles interacting with a gravitational field
• Equations of Motion of Spinning Relativistic Particle in External Fields
• Equivalence principle and experimental tests of gravitational spin effects
• Semiclassical quantisation rules for the Dirac and Pauli equations
• Gravitational ultrarelativistic spin-orbit interaction and the weak equivalence principle
• Gravitational Interaction of Spinning Bodies, Center-of-Mass Coordinate and Radiation of Compact Binary Systems
• Wave Packets Propagation in Quantum Gravity

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• Mathisson-Papapetrou-Dixon equations in the Schwarzschild and Kerr backgrounds
• Semiclassical analysis of Dirac fields on curved spacetime
• Highly relativistic spinning particle in the Schwarzschild field: Circular and other orbits
• Highly relativistic spin-gravity coupling for fermions
• Highly relativistic spinning particle starting near $r_{ph}^{(-)}$ in a Kerr field
• Fermions on curved backgrounds of matrix models
• Highly relativistic spin-gravity-$\Lambda$ coupling
• Bouncing Dirac particles: compatibility between MIT boundary conditions and Thomas precession
• Nonequatorial circular orbits of spinning particles in the Schwarzschild-de Sitter background
• Curved-spacetime dynamics of spin-$\frac{1}{2}$ particles in superposed states from a WKB approximation of the Dirac equation
• Neutrino spin oscillation in screening models revisited
• Solutions of Mathisson-Papapetrou equations for highly relativistic spinning particles
• Canonical Formulation for a Non-relativistic Spinning Particle Coupled to Gravity
• The precession of particle spin in spherical symmetric spacetimes
• Dynamics of charged spin-$\frac{1}{2}$ particles in superposed states minimally coupled to electromagnetism in curved spacetime within the WKB approximation
• Discrete geodesics and cellular automata