Efficient precision quantization in AdS/CFT

Details Efficient precision quantization in AdS/CFT Efficient precision quantization in AdS/CFT

2008-07-30

arxiv.org/abs/0807.4752v2

JHEP 0812:013,2008

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, 5 figures; v2: typos corrected, refs added

Scientific paper

10.1088/1126-6708/2008/12/013

Understanding finite-size effects is one of the key open questions in solving planar AdS/CFT. In this paper we discuss these effects in the AdS_5xS^5 string theory at one-loop in the world-sheet coupling. First we provide a very general, efficient way to compute the fluctuation frequencies, which allows to determine the energy shift for very general multi-cut solutions. Then we apply this to two-cut solutions, in particular the giant magnon and determine the finite-size corrections at subleading order. The latter are then compared to the finite-size corrections from Luscher-Klassen-Melzer formulas and found to be in perfect agreement.

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