An Interdisciplinary Journal

* 2002, Vol.5, No.1, pp.95-107*

In the literature concerning the monopole matter,
three gauges: Dirac, Schwinger, and Wu-Yang's, have been
contrasted to each other, and the Wu-Yang's often appears as
themost preferable one. The paper aims to analyze this view by
interpreting themonopole situation in terms of conventional
Fourier series theory; in particular, having relied on the
Dirichlet theorem. It is shown that themonopole case can be
labelled as avery specific and even rather simple class of
problems in theframe of that theory: all three monopole gauges
amount to practically thesame one-dimensional problem for
functions given on the interval [0, Pi], having asingle point
of discontinuity; these three vary only in its location. Some
general aspects of the Aharonov-Bohm effect are discussed; also
the way of how any singular potentials such as monopole's, being
allowed in physics, affect the essence of the physical gauge
principle itself is considered.

*Key words: *
Monopole, singularity, Dirichlet theorem, gauge principle

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Last updated: *March 24, 2002*