O. E. M., Krylova N. G., Balan V., Red’kov V. M.
tlooto Summary
Study investigates QFT, quantum black holes, and cosmological implications using Pauli-like equation for Dirac fermions on non-Abelian monopole fields.
Abstract
The paper studies the general Pauli-like equation for a Dirac fermions doublet on the background of an external non-Abelian monopole field. The variables separation has been fulfilled, the non-relativistic approximation for the radial systems has been derived. For the case of a minimal value of the conserved quantum number j = 0, the Pauli equation has been obtained in the form of one second-order differential equation. In the case j > 0, the problem has been reduced to the system of two coupled second order equations. In Bogomol'nyi-Prasad-Sommerfeld approximation, this system of equations has been solved in terms of hypergeometric functions.
Citation format
M., O. E., et al. Momentum: QFT, quantum black holes, and some cosmological implications. Nonlinear Phenomena in Complex Systems, 2022.