Relativistic Particle and Relativistic Fluids: Magnetic Moment and Spin-Orbit Interactions

Abstract

We consider relativistic charged particle dynamics and relativistic magnetohydrodynamics using symplectic structures and actions given in terms of co-adjoint orbits of the Poincaré group. The particle case is meant to clarify some points such as how minimal coupling (as defined in text) leads to a gyromagnetic ratio of $2$, and to set the stage for fluid dynamics. The general group-theoretic framework is further explained and is then used to set up Abelian magnetohydrodynamics including spin effects. An interesting new physical effect is precession of spin density induced by gradients in pressure and energy density. The Euler equation (the dynamics of the velocity field) is also modified by gradients of the spin density.

22 pages

References in corpus (10)

• The Chiral Magnetic Effect
• Charge separation induced by P-odd bubbles in QCD matter
• Gravitational Anomaly and Transport
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Relativistic Hydrodynamics with General Anomalous Charges
• The chiral magnetic effect in hydrodynamical approach
• Notes on chiral hydrodynamics within effective theory approach
• A consistent description of kinetic equation with triangle anomaly
• Chiral fermions as classical massless spinning particles
• Color Skyrmions in the Quark-Gluon Plasma

Cited by in corpus (13)

• Relativistic Spin Magnetohydrodynamics
• Chiral fermions as classical massless spinning particles
• Constructing phase space distributions with internal symmetries
• The causality and stability of relativistic spin-hydrodynamics
• The group-theoretic approach to perfect fluid equations with conformal symmetry
• Lorentz transformations, sideways shift and massless spinning particles
• Linear response hydrodynamics of a relativistic dissipative fluid with spin
• Actions for particles and strings and Chern-Simons gravity
• Galilei Group with multiple central extension, vorticity and entropy generation: "Exotic" fluid in 3+1-dimensions
• World-line formulation of chiral kinetic theory in topological background gauge fields
• Perfect spinfluid: A divergence-type approach
• Spin-density and Vorticity Contribution to the Cosmological Background
• Anomalous Hall Effect for semiclassical chiral fermions