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.

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

References in corpus (3)

• The Exact Electron Propagator in a Magnetic Field as the Sum over Landau Levels on a Basis of the Dirac Equation Exact Solutions
• Neutrino absorption by W production in the presence of a magnetic field
• High energy neutrino absorption by W production in a strong magnetic field

Cited by in corpus (4)

• Composite Vector Particles in External Electromagnetic Fields
• Charged massive vector boson propagator in a constant magnetic field in arbitrary $\xi$-gauge obtained using the modified Fock-Schwinger method
• Gauge independence of pion masses in a magnetic field within the Nambu--Jona-Lasinio model
• Quantum field theoretical structure of electrical conductivity of cold and dense fermionic matter in the presence of a magnetic field