A non-singular potential for the Dirac monopole

We propose a new vector potential for the Abelian magnetic monopole. The potential is nonsingular in the entire region around the monopole. We argue how the Dirac quantization condition can be derived for any choice of potential. Magnetic monopoles have not been found experimentally, but there are strong theoretical reasons to believe that they exist. Dirac [1] showed that if a magnetic monopole exists, its magnetic charge g obeys the relation qg = n/2 (1) in natural units, where q is the charge of any particle and n is an integer. This implies quantization of electric charges. The magnetic field of a monopole is given by B = g r2 r̂ , (2) where r is the radial distance from the monopole and r̂ is the unit vector in the radial direction. Thus, the integral of the magnetic flux on a closed surface containing the monopole does not vanish: