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Boundary charges and integral identities for solitons in $(d+1)$-dimensional field theories. (arXiv:1710.03045v1 [hep-th])
来源于:arXiv
We establish a 3-parameter family of integral identities to be used on a
class of theories possessing solitons with spherical symmetry in $d$ spatial
dimensions. The construction provides five boundary charges that are related to
certain integrals of the profile functions of the solitons in question. The
framework is quite generic and we give examples of both topological defects
(like vortices and monopoles) and topological textures (like Skyrmions) in 2
and 3 dimensions. The class of theories considered here is based on a kinetic
term and three functionals often encountered in reduced Lagrangians for
solitons. One particularly interesting case provides a generalization of the
well-known Pohozaev identity. Our construction, however, is fundamentally
different from scaling arguments behind Derrick's theorem and virial relations.
For BPS vortices, we find interestingly an infinity of integrals simply related
to the topological winding number. 查看全文>>