Covariant Quantization of the Skyrmion
arXiv:hep-th/9612129 · doi:10.1016/S0550-3213(97)81645-8
Abstract
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.
29 latex pages and 2 postscript files tar and compressed with script uufiles. Uses epsf macros and espart.sty. One figure (fig. 2) not included. Full version (i.e. with all figures) available at http://www.tandar.cnea.edu.ar/preprints/FNT/96/003.tex To appear in Nuc.Phys.B