Propagators of charged particles in an external magnetic field, expanded over Landau levels

Abstract

Various forms of expressions for the propagators of charged particles in a constant magnetic field that should be used for investigations of electroweak processes in external uniform magnetic field are discussed. Formulas for the propagators of the Standard Model charged $W$- and scalar $\Phi$-bosons in an arbitrary $\xi$-gauge, expanded over Landau levels, are derived for the first time.

Comments: 14 pages, LaTeX, to appear in Int. J. Mod. Phys. A; version 2: misprint corrected, conclusions unchanged; version 3: note and reference added