New symmetry properties of pointlike scalar and Dirac particles

Abstract

New symmetry properties are found for pointlike scalar and Dirac particles (Higgs boson and all leptons) in Riemannian and Riemann-Cartan spacetimes in the presence of electromagnetic interactions. A Hermitian form of the Klein-Gordon equation for a pointlike scalar particle in an arbitrary n-dimensional Riemannian (or Riemann-Cartan) spacetime is obtained. New conformal symmetries of initial and Hermitian forms of this equation are ascertained. In the above spacetime, general Hamiltonians in the generalized Feshbach-Villars and Foldy-Wouthuysen representations are derived. The conformal-like transformation conserving these Hamiltonians is found. Corresponding conformal symmetries of a Dirac particle are determined. It is proven that all conformal symmetries remain unchanged by an inclusion of electromagnetic interactions.

arXiv comment14 pages, final version

References in corpus (18)

• Spin, gravity, and inertia
• Semiclassical limit for Dirac particles interacting with a gravitational field
• Foldy-Wouthyusen Transformation and Semiclassical Limit for Relativistic Particles in Strong External Fields
• Foldy-Wouthuysen transformation for relativistic particles in external fields
• Spin dynamics in gravitational fields of rotating bodies and the equivalence principle
• The Foldy-Wouthuysen transformation
• On Poincaré gauge theory of gravity, its equations of motion, and Gravity Probe B
• Spin-torsion coupling and gravitational moments of Dirac fermions: theory and experimental bounds
• Spin in an arbitrary gravitational field
• Dirac fermions in strong gravitational fields
• General method of the relativistic Foldy-Wouthuysen transformation and proof of validity of the Foldy-Wouthuysen Hamiltonian
• Classical Limit of Relativistic Quantum Mechanical Equations in the Foldy-Wouthuysen Representation
• Comparative analysis of direct and "step-by-step" Foldy-Wouthuysen transformation methods
• On gravitational interaction of fermions
• Energy expectation values of a particle in nonstationary fields
• Hamilton Operator and the Semiclassical Limit for Scalar Particles in an Electromagnetic Field
• Scalar particle in general inertial and gravitational fields and conformal invariance revisited
• Exact Foldy-Wouthuysen transformation for spin 0 particle in curved space

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• Spin Precession of Slow Neutrons in Einstein-Cartan Gravity with Torsion, Chameleon and Magnetic Field
• Interacting relativistic quantum dynamics of two particles on spacetimes with a Big Bang singularity