Dynamics of a Dirac particle in the theory with Lorentz invariance violation

Analytical treatment of long-term observations of the day-night asymmetry for solar neutrinos

“…In the recent investigations, considerable progress was made in finding exact solutions of Eq. (1) in certain special cases [17,18]; nevertheless, the general approach to this kind of equation still remains to be approximate.…”

Radiation and self-polarization of neutral fermions in quasi-classical description

“…where H µ denotes µ 0 H µν u ν . If we average over the initial spin states and summarize over the final ones in expressions (21) and (22), for which purpose we must set S µ i = S µ f = 0, we obtain the angular distribution and total radiation power of unpolarized fermion [13,14]. If we set S µ i = S µ f = S µ in formulas (21) and (22) and divide the obtained expression by 2, we obtain the angular distribution and total radiation power without spin flip.…”

“…In our papers [13,14] radiation of unpolarized neutral particles was investigated in quasi-classical approach in the case of arbitrary field. To study radiation from an unpolarized particle one must impose an additional requirement that consists in averaging over the initial spin states and summing over the final polarizations.…”

“…The averaging of the quantum transition amplitudes should correspond to the averaging over the initial orientations of the magnetic dipole moment within the quasi-classical consideration. We proposed [13,14] to replace the magnetic moment by…”

Vacuum polarization in the model of Dirac fermions with anomalous magnetic moment interacting with background axial-vector condensate and magnetic field

“…We introduce an additional CPT-odd term to the Dirac equation of the formψγ 5 γ μ b μ ψ, where b μ is the constant axial four-vector [12][13][14]). The Dirac equation of this form and the energy spectrum for a fermion were considered earlier [15].…”