Semiclassical quantization of rotating superstring in AdS5 x S5 -: art. no. 007

Motivated by recent proposals in hep-th/0202021 and hep-th/0204051 we develop semiclassical quantization of superstring in AdS(5) x S-5. We start with a classical solution describing string rotating in AdS(5) and boosted along large circle of S-5. The energy of the classical solution E is a function of the spin S and the momentum J (R-charge) which interpolates between the limiting cases S=0 and J=0 considered previously. We derive the corresponding quadratic fluctuation action for bosonic and fermionic fields from the GS string action and compute the string 1-loop ( large rootlambda= R-2/alpha') correction to the classical energy spectrum in the ( S, J) sector. We find that the 1-loop correction to the ground-state energy does not cancel for S=0. For large S it scales as ln S, i.e. as the classical term, with no higher powers of ln S appearing. This supports the conjecture made in hep-th/0204051 that the classical E-S=a ln S scaling can be interpolated to weak coupling to reproduce the corresponding operator anomalous dimension behaviour in gauge theory.