Chiral Symmetry in Dirac Equation and its Effects on Neutrino Masses and Dark Matter

Abstract

Chiral symmetry is included into the Dirac equation using the irreducible representations of the Poincaré group. The symmetry introduces the chiral angle that specifies the chiral basis. It is shown that the correct identification of these basis allows explaining small masses of neutrinos and predicting a new candidate for Dark Matter massive particle.

11 pages

References in corpus (3)

• Dark Energy and the Accelerating Universe
• Constraining the Spin-Dependent WIMP-Nucleon Cross Sections with XENON1T
• Modified Dirac equation with Lorentz invariance violation and its solutions for particles in an external magnetic field

Cited by in corpus (5)

• Interaction of the axionic dark matter, dynamic aether, spinor and gravity fields as an origin of oscillations of the fermion effective mass
• Quantum Theory of Cold Dark Matter Halos
• Chiral Dirac Equation and Its Spacetime and CPT Symmetries
• Fully Symmetric Relativistic Quantum Mechanics and Its Physical Implications
• Chiral Bargmann-Wigner Equations for Spin-1 Massive Fields