On Dirac Strings

倪維斗(W. T. NI) ； 顏晃徹(H. C. YEN)

《Chinese Journal of Physics》 14卷3期 (1976/10) Pp. 1-5

並列摘要

It is known that a classical monopole field can be derived from a vector potential having a half-line singularity (Dirac string). For a magnetic monopole of strength g0 at the origin, we obtain a vector potential having a singularity on an arbitrarily fixed curve θ=α(r), φ=β(r); explicitly, the potential is given by A[r]=g0Δ^(-1)[α^1(r)sin θ sin(β-φ)+β'(r)(cos a-cos θ)] A[θ]=-g0r^(-1)Δ^(-1)sin a sin(β-φ) A[φ]=-g0r^(-1)Δ^(-1)[sin a cos θ cos(β-φ)-cos a sin θ, where Δ=1-cos a cos θ-sin a sin θ cos(β-φ). Comparison with Wentzel's integral expression is discussed and generalization to the case of curved space is made.