Quarks and Magnetic Poles

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Abstract
A theory is developed which accounts for the free nonrelativistic motion of fractionally charged quarks within hadrons, and at the same time does not permit quarks to appear as individuals. This is accomplished by modifying Dirac's idea that the quantization of electric charge derives from the existence of a point magnetic pole, to include the situation in which the pole is extended in space and of hadronic size. The needed formalism makes use of Mandelstam's gauge-independent, path-dependent quantum electrodynamics, as extended by Cabibbo and Ferrari to include the existence of point magnetic poles. It is shown that the further extension to a pole of finite size and the use of parallel straight paths are the only new features that are required. In particular, no assumptions need be made with regard to the masses of quarks, the interactions between them, or the existence of a constraining potential.

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