W-boson mass operator in an external magnetic field at high temperatures

By the Schwinger proper-time method, the one-loop contribution to the W-boson mass operator is calculated in a constant magnetic field at high temperatures. The static limit is investigated. By averaging the mass operator over the physical states of a vector particle, the temperature-dependent radiative corrections to the W-boson energy spectrum are obtained at high magnetic fields (eH/M2 >> 1) for various values of the spin projection onto the field direction. These corrections are found to be positive. In particular, the correction to the ground-state level stabilizes the W-boson vacuum state at high temperatures