Covariant Quantization of the Skyrmion

Details Covariant Quantization of the Skyrmion Covariant Quantization of the Skyrmion

1996-12-11

arxiv.org/abs/hep-th/9612129v1

Nucl.Phys. B488 (1997) 513-538

Physics

High Energy Physics

High Energy Physics - Theory

29 latex pages and 2 postscript files tar and compressed with script uufiles. Uses epsf macros and espart.sty. One figure (fig

Scientific paper

10.1016/S0550-3213(97)81645-8

We obtain the internal degrees of freedom of the skyrmion (spin and isospin) within a manifestly Lorentz covariant quantization framework based on defining Green functions for skyrmions and then, the S-matrix via LSZ reduction. Our method follows Frohlich and Marchetti's definition of Euclidean soliton Green functions, supplemented with a careful treatment of the boundary conditions around the singularities. The covariant two-point function obtained propagates a tower of spin equal to isospin particles. Our treatment contains the usual method of collective coordinates, as a non-relativistic limit and, because of the new topology introduced, it leads, in a natural way, to the inequivalent (boson/fermion) quantizations of the SU(2) skyrmion.

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