CHARGED VECTOR BOSONS IN A MAGNETIC-FIELD AT A FINITE-TEMPERATURE

Bose-Einstein condensation does not occur in a charged vector boson ga s in the presence of a homogeneous external magnetic field, although a major portion of the bosons are in the ground state. Spontaneous magn etization occurs in a vector boson gas. The total birth probability of vector boson pairs in a vacuum under a strong magnetic field at a fin ite temperature can be determined. Expressions that can probably chara cterize the vacuum free energy and magnetic moment are found, and form ulas for the density and magnetic moment of the vector boson pairs gen erated by a magnetic field at a finite temperature are derived.