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Baryons as skyrmion solution

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Recently I've read in Weinberg QToF Vol. 2 that because of spontaneously symmetry breaking of quark global group $SU_{L}(3)\times SU_{R}(3)$ down to  $SU_{f}(3)$ topological structures called skyrmions arise. Weinberg writes that in some sense baryons may be interpreted as skyrmion solution in purely meson chiral effective theory.

The question: how half-spin state may be solution of EOM for integer spin states (even if it is extended field configuration)? And in which sense baryons are skyrmion solutions?

asked Oct 7, 2015 in Theoretical Physics by NAME_XXX (1,020 points) [ revision history ]
edited Oct 7, 2015 by NAME_XXX

1 Answer

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This is discussed in detail in a paper by Witten, ''Current algebra, baryons, and quark confinement''.

The fermionic nature of the soliton (defining the skyrmion) is induced by the nontrivial homotopy group.

answered Oct 7, 2015 by Arnold Neumaier (12,570 points) [ no revision ]

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