Gauge invariant finite size spectrum of the giant magnon

Details Gauge invariant finite size spectrum of the giant magnon Gauge invariant finite size spectrum of the giant magnon

2007-02-06

arxiv.org/abs/hep-th/0702043v3

Phys.Lett.B651:329-335,2007

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, some clarifications, references added

Scientific paper

10.1016/j.physletb.2007.06.002

It is shown that the finite size corrections to the spectrum of the giant magnon solution of classical string theory, computed using the uniform light-cone gauge, are gauge invariant and have physical meaning. This is seen in two ways: from a general argument where the single magnon is made gauge invariant by putting it on an orbifold as a wrapped state obeying the level matching condition as well as all other constraints, and by an explicit calculation where it is shown that physical quantum numbers do not depend on the uniform light-cone gauge parameter. The resulting finite size effects are exponentially small in the $R$-charge and the exponent (but not the prefactor) agrees with gauge theory computations using the integrable Hubbard model.

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