Royal Society Publishing

A Non-Linear Field Theory

T. H. R. Skyrme


A unified field theory of mesons and their particle sources is proposed and considered in its classical aspects. The theory has static solutions of a singular nature, but finite energy, characterized by spin directions; the number of such entities is a rigorously conserved constant of motion; they interact with an external meson field through a derivative-type coupling with the spins, akin to the formalism of strong-coupling meson theory. There is a conserved current identifiable with isobaric spin, and another that may be related to hypercharge. The postulates include one constant of the dimensions of length, and another that is conjectured necessarily to have the value $\hslas{h}$c, or perhaps $\frac{1}{2}\hslas{h}$c, in the quantized theory.

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