Vector boson in constant electromagnetic field

Abstract

The propagator and complete sets of in- and out-solutions of wave equation, together with Bogoliubov coefficients, relating these solutions, are obtained for vector $W$-boson (with gyromagnetic ratio $g=2$) in a constant electromagnetic field. When only electric field is present the Bogoliubov coefficients are independent of boson polarization and are the same as for scalar boson. When both electric and magnetic fields are present and collinear, the Bogoliubov coefficients for states with boson spin perpendicular to the field are again the same as in scalar case. For $W^{-}$ spin along (against) the magnetic field the Bogoliubov coefficients and the contributions to the imaginary part of the Lagrange function in one loop approximation are obtained from corresponding expressions for scalar case by substitution $m^2\to m^2+2eH$ $(m^2\to m^2-2eH)$. For gyromagnetic ratio $g=2$ the vector boson interaction with constant electromagnetic field is described by the functions, which can be expected by comparing wave functions for scalar and Dirac particle in constant electromagnetic field.

20 pages, LATEX2e, no figures

Cited by in corpus (6)

• Neutrino Self-Energy and Index of Refraction in Strong Magnetic Field: A New Approach
• Charged pseudoscalar and vector meson masses under strong magnetic fields in an extended NJL model
• Charged meson masses under strong magnetic fields: gauge invariance and Schwinger phases
• Charged massive vector boson propagator in a constant magnetic field in arbitrary $\xi$-gauge obtained using the modified Fock-Schwinger method
• Dynamics, quantum states and Compton scattering in nonlinear gravitational waves
• Position-space representation of charged particles' propagators in a constant magnetic field as an expansion over Landau levels