How Accurate is the Quantum String Bethe Ansatz?

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages, 1 figure; v4: typo in A.2 corrected

Scientific paper

10.1088/1126-6708/2006/12/020

We compare solutions of the quantum string Bethe equations with explicit
one-loop calculations in the sigma-model on AdS(5)xS(5). The Bethe ansatz
exactly reproduces the spectrum of infinitely long strings. When the length is
finite, we find that deviations from the exact answer arise which are
exponentially small in the string length.

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