Finite-Size Effects for Multi-Magnon States

Details Finite-Size Effects for Multi-Magnon States Finite-Size Effects for Multi-Magnon States

2008-07-07

arxiv.org/abs/0807.0643v4

JHEP 0809:025,2008

Physics

High Energy Physics

High Energy Physics - Theory

1+35 pages, v3: further clarification provided in Section 4, Section 5 moved to an appendix, v4: improved arguments for the ca

Scientific paper

10.1088/1126-6708/2008/09/025

We propose the generalized Luscher formula for multi-magnon states by which one can compute the finite-size correction to the energy of multi giant magnons at classical and one-loop levels. It is shown that the F-term of our formula is consistent with the exact finite-size spectrum of the sinh-Gordon model, and the mu-term agrees with the finite-size energy of magnon boundstate of the asymptotic Bethe Ansatz in the su(2) sector at strong coupling. In an appendix, we evaluate our formula at weak coupling under some approximations, and find that the transcendental terms arise from a sum over an infinite tower of BPS boundstates.

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