Infinite spin limit of semiclassical string states

Details Infinite spin limit of semiclassical string states Infinite spin limit of semiclassical string states

2006-06-15

arxiv.org/abs/hep-th/0606145v2

JHEP 0608:049,2006

Physics

High Energy Physics

High Energy Physics - Theory

38 pages, 3 figures; v2: comments on derivation of bound states of magnons from discrete Bethe equations added in section 4 an

Scientific paper

10.1088/1126-6708/2006/08/049

Motivated by recent works of Hofman and Maldacena and Dorey we consider a special infinite spin limit of semiclassical spinning string states in AdS5 x S5. We discuss examples of known folded and circular 2-spin string solutions and demonstrate explicitly that the 1-loop superstring correction to the classical expression for the energy vanishes in the limit when one of the spins is much larger that the other. We also give a general discussion of this limit at the level of integral equations describing finite gap solutions of the string sigma model and argue that the corresponding asymptotic form of the string and gauge Bethe equations is the same.

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